If $$g(x) = 2x^2 - 1$$ , what is $$g(2)$$ ?

$$g(2) = 2(2^2) - 1 = 8 - 1 = 7$$ .

Find $$g(f(-2))$$ if $$f(x) = 2x$$ and $$g(x) = 2x^2 - 1$$ .

$$f(-2) = 2(-2) = -4; g(-4) = 2(-4)^2 - 1 = 32 - 1 = 31$$ .

What is the result of $$f(f(0))$$ if $$f(x) = 2x$$ ?

$$f(0) = 2(0) = 0; f(f(0)) = f(0) = 2(0) = 0$$ .

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

$$f(-1) = 2(-1) = -2; g(-2) = 2(-2)^2 - 1 = 8 - 1 = 7$$ .

If $$g(x) = 2x^2 - 1$$ , what is $$g(0)$$ ?

$$g(0) = 2(0)^2 - 1 = 0 - 1 = -1$$ .

Find $$f(g(3))$$ if $$f(x) = 2x$$ and $$g(x) = 2x^2 - 1$$ .

$$g(3) = 2(3^2) - 1 = 18 - 1 = 17; f(17) = 2(17) = 34$$ .

What is the domain of the function composition $$f(g(x))$$ ?

The domain of $$f(g(x))$$ is the set of all x such that g(x) is in the domain of f.

What is the range of the function $$g(x) = 2x^2 - 1$$ ?

The range of $$g(x) = 2x^2 - 1$$ is all real numbers greater than or equal to -1.

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

$$g(1) = 2(1^2) - 1 = 1; f(1) = 2(1) = 2$$ .

Explain the importance of function composition in mathematics.

Function composition is important because it allows for the combination of functions to create new functions, enabling more complex relationships and operations in mathematics.

Function Composition And Evaluation

Function Composition and Evaluation

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1C, HSF.IF.A.2, HSF-BF.A.1B

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FLASHCARD QUESTION

Front

Define function composition.

Back

Tags

CCSS.HSF-BF.A.1C

FLASHCARD QUESTION

Front

What is the notation for function composition?

Back

Tags

CCSS.HSF-BF.A.1C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1C

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