Unit 6 Test Review

Front

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

Back

f(g(x)) = 9x^2 - 6x + 1.

Front

If f(x) = x - 1 and g(x) = 5x - 2, then (f - g)(x) = ?

Back

(f - g)(x) = -4x + 1.

Front

If f(x) = x - 5 and g(x) = 3x^2 - 1, what is (f ° g)(x) ?

Back

(f ° g)(x) = 3x^2 - 6.

Front

Given g(x) = -3x and f(x) = x^2 + 2, find g(f(x)).

Back

g(f(x)) = -3x^2 - 6.

Front

Which expression represents g(f(x)) if f(x) = 2x - 8 and g(x) = 4x?

Back

g(f(x)) = 8x - 32.

Front

Define function composition.

Back

Function composition is the process of applying one function to the results of another function, denoted as (f ° g)(x) = f(g(x)).

Front

What is the formula for finding the composition of two functions f and g?

Back

(f ° g)(x) = f(g(x)).

Front

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

Back

g(f(1)) = g(5) = 25.

Front

What is the difference between f(x) and g(x) in function notation?

Back

f(x) and g(x) are two different functions that can be combined or compared.

Front

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

Back

(g ° f)(x) = g(3x) = 3x + 1.