Which of the following could express g in terms of f? - ProProfs Discuss
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# Which of the following could express g in terms of f?

Both graphs of the functions go from x=-2 to x=2?

A. G (x) = f (x +1)
B. G (x) = f(x) + 1
C. G (x) = f(x+1) + 1
D. G (x) = f(x - 1)
E. G (x) = f(x) - 1

This question is part of SAT Section 1 - Group 5
Asked by Mmmaxwell, Last updated: Sep 22, 2020

#### h.Jennifer

H.Jennifer

G (x) = f(x) + 1
Function Composition" is applying one function to the results of another.
(g º f)(x) = g(f(x)), first apply f(), then apply g()
We must also respect the domain of the first function.
Some functions can be de-composed into two (or more) simpler functions.
Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x"
How to divide a function

Leave the first fraction in the equation alone.
Flip the second fraction over (find its reciprocal).
Multiply the numerators (top numbers) of the two fractions together. ...
Multiply the denominators (bottom numbers) of the two fractions together.

Mmmaxwell

G (x) = f(x) + 1