GRE Math : How to find f(x)
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Example Questions
Example Question #31 : Algebraic Functions
The first step is to multiple each side by 
The next step will be to add 
Finally divide both sides by 
Example Question #32 : Algebraic Functions
For which value of 
6
5
4
2
3
4
It is important to follow the order of operations for this equation and find a solution that satisfies both F(x) and G(x).
Recall the order of operations is PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
The correct answer is 4 because
F(x) = 2x + 3x + (9x/3) = 2(4) + 34 + ((9 * 4)/3) = 101, and
G(x) = (((24 + 44)/2) - 4 * 4) – 5(4) + 1 = 101.
Example Question #33 : Algebraic Functions
The function 
24
56
18
36
-36
24
Substitute -1 for 
If you didn’t remember the negative sign, you will have calculated 36. If you remembered the negative sign at the very last step, you will have calculated -36; however, if you did not remember that 
Example Question #34 : Algebraic Functions
If the function 
We can take each of the listed transformations of 
Next, take this equation and reflect it across the x-axis. If we reflect a function across the x-axis, then all of its values will be multiplied by negative one. So, 
Lastly, distribute the negative sign to arrive at the final answer.
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