ADM-10 · Advanced Math

Function notation, evaluation, and composition

Functions and exponentials · Stage 2

01 · Key idea

For composition, evaluate the inside function first.

Useful rulef(g(x))

Build on: ALG-01

02 · Worked example

If f(x)=2x+1 and g(x)=x², find f(g(3)).

This teaching example is original and is not an official SAT question.

Reasoning

g(3)=9; then f(9)=2(9)+1=19.

Answer

03 · Next step

Practice questions remain in English, as on the SAT.

ADM-10 · Function notation, evaluation, and composition