We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : Algebraic Functions

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1181 : Algebra

$f(x)=x^{2}+2$

$g(x)=x-4$

Find $g(f(2))$ .

Possible Answers:

$\dpi{100} \small 1$

$\dpi{100} \small 3$

$\dpi{100} \small 6$

$\dpi{100} \small 4$

$\dpi{100} \small 2$

Correct answer:

$\dpi{100} \small 2$

Explanation:

$g(f(2))$ is $\dpi{100} \small 2$ . To start, we find that $f(2)=2^{2}+2=4+2=6$ . Using this, we find that $g(6)=6-4=2$ .

Alternatively, we can find that $g(f(x))=(x^{2}+2)-4=x^{2}-2$ . Then, we find that $g(f(2))=2^{2}-2=4-2=2$ .

Report an Error

Example Question #2 : How To Find F(X)

It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in m minutes?

Possible Answers:

$\left | m+35 \right |> 5$

$\left | m+35 \right |< 5$

$\left | m-35 \right |> 5$

$\left | m-35 \right |< 5$

$\left | m-35 \right |= 5$

Correct answer:

$\left | m-35 \right |< 5$

Explanation:

If we take the mean number of minutes to be 35, then we need an equation which is less than 5 from either side of 35. If we subtract 35 from $m$ minutes and take the absolute value, this will give us our equation since we know that the time it takes to run the marathon is between 30 and 40 minutes.

Report an Error

Example Question #11 : How To Find F(X)

If $\small f(x) = 4x^{2}+3x+2$ and $\small g(x) = x+7$ , what is $\small f(g(x))$ ?

Possible Answers:

$\small 4x^{2}+3x+72$

$\small 4x^{2}+17x+219$

$\small 4x^{2}+3x+219$

$\small 4x^{2}+17x+72$

$\small 4x^{2}+59x+219$

Correct answer:

$\small 4x^{2}+59x+219$

Explanation:

$\small 4(x+7)^{2} +3(x+7)+2$

$\small 4(x^{2} + 14x + 49)+ 3x +21 + 2$

$\small 4x^{2}+56x+196+3x+23$

$\small 4x^{2}+59x+219$

Report an Error

Example Question #51 : How To Find F(X)

If f(6)=7 and f(10)=17 , which of the following could represent f(x) ?

Possible Answers:

2x + 5

2.5x - 8

1.5x - 2

3x - 1

x + 4

Correct answer:

2.5x - 8

Explanation:

The number in the parentheses is what goes into the function.

For the function f(x) = 2.5x - 8 ,

f(6) = 2.5(6) - 8 = 7 and

f(10) = 2.5(10) - 8 = 17

Report an Error

Example Question #31 : Algebraic Functions

A function F is defined as follows:

for x² > 1, F(x) = 4x² + 2x – 2

for x²< 1, F(x) = 4x² – 2x + 2

What is the value of F(1/2)?

Possible Answers:

$\frac{7}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

For F(1/2), x²=1/4, which is less than 1, so we use the bottom equation to solve. This gives F(1/2)= 4(1/2)² – 2(1/2) + 2 = 1 – 1 + 2 = 2

Report an Error

Example Question #13 : How To Find F(X)

Which of the statements describes the solution set for –7(x + 3) = –7x + 20 ?

Possible Answers:

x = –1

All real numbers are solutions.

There are no solutions.

x = 0

Correct answer:

There are no solutions.

Explanation:

By distribution we obtain –7x – 21 = – 7x + 20. This equation is never possibly true.

Report an Error

Example Question #94 : Algebraic Functions

Will just joined a poetry writing group in town that meets once a week. The number of poems Will has written after a certain number of meetings can be represented by the function f(p) = 2p+6 , where represents the number of meetings Will has attended. Using this function, how many poems has Will written after 7 classes?

Possible Answers:

Correct answer:

Explanation:

For this function, simply plug 7 in for and solve:

f(p)=2p+6=2(7)+6=20

Report an Error

Example Question #52 : How To Find F(X)

If $f(x)=x^{3} +\frac{4}{x} + \frac{x^{2}}{2}$ what is $f\left ( 4 \right )$

Possible Answers:

Correct answer:

Explanation:

$f(x)=x^{3} +\frac{4}{x} + \frac{x^{2}}{2}$

$f(4)=4^{3} +\frac{4}{4} + \frac{4^{2}}{2}$

$f(4)=64 + 1 + 8$

$f(4)=73$

Report an Error

Example Question #53 : How To Find F(X)

If $f(x)=x+\frac{1}{x}$ , find the value of f(4) .

Possible Answers:

$\frac{17}{4}$

$\frac{41}{4}$

Correct answer:

$\frac{17}{4}$

Explanation:

f(4) = 4 + 1/4 = 16/4 + 1/4 = 17/4

Report an Error

Example Question #54 : How To Find F(X)

If f(x) = x + 8 and g(x) = x^2 + x , what is g(f(3)) ?

Possible Answers:

100

104

132

Correct answer:

132

Explanation:

g is a function of f, and f is a function of 3, so you must work inside out.

f(3) = 11

g(f(3)) = g(11) = 121 + 11 = 132

Report an Error

View SAT Mathematics Tutors

Noah
Certified Tutor

Bard College, Bachelors, Philosophy and Creative Writing (Dual Major). Sarah Lawrence College, Master of Fine Arts, Creative ...

View SAT Mathematics Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View SAT Mathematics Tutors

Bill
Certified Tutor

SUNY Empire State College, Bachelors, General Sciences, Theater.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors

Popular Courses & Classes

GMAT Courses & Classes in San Diego, SSAT Courses & Classes in Boston, Spanish Courses & Classes in Boston, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Boston, Spanish Courses & Classes in Denver, GMAT Courses & Classes in Los Angeles, GMAT Courses & Classes in New York City, ISEE Courses & Classes in Miami

Popular Test Prep

GMAT Test Prep in New York City, MCAT Test Prep in Phoenix, MCAT Test Prep in Atlanta, ISEE Test Prep in Seattle, MCAT Test Prep in Washington DC, SAT Test Prep in Phoenix, ISEE Test Prep in Dallas Fort Worth, ACT Test Prep in Los Angeles, SSAT Test Prep in Atlanta, SAT Test Prep in Dallas Fort Worth

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

SAT Math : Algebraic Functions

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1181 : Algebra

Example Question #2 : How To Find F(X)

Example Question #11 : How To Find F(X)

Example Question #51 : How To Find F(X)

Example Question #31 : Algebraic Functions

Example Question #13 : How To Find F(X)

Example Question #94 : Algebraic Functions

Example Question #52 : How To Find F(X)

Example Question #53 : How To Find F(X)

Example Question #54 : How To Find F(X)

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: