All Precalculus Resources
Example Questions
Example Question #21 : Composition Of Functions
Suppose and . Find .
To find , you must subsititue into the function, .
Example Question #1137 : Pre Calculus
If and , what is
First, we find or Then, find , or
Example Question #1133 : Pre Calculus
Given and find .
None of these.
Finding is the same as plugging in into much like one would find for a function .
and
Insert g(x) into f(x) everywhere there is a variable in f(x):
Example Question #1139 : Pre Calculus
We are given the following:
and .
Find:
None of the other answers.
None of the other answers.
Let's discuss what the problem is asking us to solve. The expression (read as as "f of g of x") is the same as . In other words, we need to substitute into .
Substitute the equation of for the variable in the given function:
Next we need to FOIL the squared term and simplify:
FOIL means that we multiply terms in the following order: first, outer, inner, and last.
First:
Outer:
Inner:
Last:
When we combine like terms, we get the following:
Substitute this back into the equation and continue to simplify.
None of the answers are correct.
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