5.5 Review

Front

If \( f(x)=x^2+x \) and \( g(x)=3x+1 \), find \( g(f(-2)) \).

Back

7

Front

Given \( f(x)=2x-8 \) and \( g(x)=4x \), find \( g(f(x)) \).

Back

Front

What is \( f(g(3)) \)?

Back

Front

Is it true that \( f-g = (f-g)(x) = f(x)-g(x) \)?

Back

True

Front

Given \( f(x)=x^2+5x-17 \), find \( f(-1) \).

Back

Front

What is the composition of functions \( f(g(x)) \)?

Back

The output of function \( g \) is used as the input for function \( f \).

Front

Define a function composition.

Back

A function composition is the application of one function to the results of another, denoted as \( f(g(x)) \).

Front

What is the value of \( g(f(2)) \) if \( f(x)=x^2 \) and \( g(x)=x+3 \)?

Back

7

Front

If \( f(x)=3x \) and \( g(x)=x^2 \), what is \( g(f(1)) \)?

Back

9

Front

What is the difference between \( f(x) \) and \( g(x) \) if \( f(x)=x^2 \) and \( g(x)=x \)?

Back

The difference is \( f(x)-g(x)=x^2-x \).