COMPOSITE FUNCTIONS

Front

What is a composite function?

Back

A composite function is a function that is formed by combining two functions, where the output of one function becomes the input of the other. It is denoted as (f∘g)(x) = f(g(x)).

Tags

CCSS.HSF-BF.A.1C

Front

How do you find g(f(x))?

Back

To find g(f(x)), first evaluate f(x) for a given x, then take that result and substitute it into g(x).

Tags

CCSS.HSF-BF.A.1C

Front

If f(x) = 3x + 10 and g(x) = x - 2, what is g(f(-10))?

Back

None of these.

Tags

CCSS.HSF-BF.A.1C

Front

What is the value of g(f(2)) if f(x) = 3x + 10 and g(x) = x - 2?

Back

-3.

Tags

CCSS.HSF-BF.A.1C

Front

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

Back

7.

Tags

CCSS.HSF-BF.A.1C

Front

What is the expression for g(f(x)) if f(x) = 2x - 8 and g(x) = 4x?

Back

8x - 32.

Tags

CCSS.HSF-BF.A.1C

Front

How do you evaluate (f∘g)(0) for f(x) = 3x + 10 and g(x) = x - 2?

Back

4.

Tags

CCSS.HSF-BF.A.1C

Front

What is the domain of a composite function?

Back

The domain of a composite function is the set of all x values for which g(f(x)) is defined.

Tags

CCSS.HSF-BF.A.1B

Front

What is the range of a composite function?

Back

The range of a composite function is the set of all possible output values of g(f(x)).

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = x + 1 and g(x) = x², what is (g∘f)(x)?

Back

(g∘f)(x) = (x + 1)².

Tags

CCSS.HSF-BF.A.1C