Composition & Operations with Functions Flashcard

Front

What is the restriction for the function f(x) = 3x² - 2x + 1 divided by g(x) = x - 4?

Back

x ≠ 4

Front

Find f(x) + g(x) when f(x) = 9 - 3x and g(x) = 5x - 7.

Back

2x + 2

Tags

CCSS.HSF-BF.A.1B

Front

Calculate f(x) * g(x) for f(x) = 4x + 8 and g(x) = x + 3.

Back

4x² + 20x + 24

Tags

CCSS.HSF-BF.A.1B

Front

What is the value of f(g(4)) if f(x) = x² + x and g(x) = 3x + 1?

Back

182

Tags

CCSS.HSF-BF.A.1C

Front

Determine f(x) - g(x) when f(x) = x² + 9 and g(x) = x - 9.

Back

x² - x + 18

Tags

CCSS.HSF-BF.A.1B

Front

Define a function.

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Explain the concept of function composition.

Back

Function composition is the process of applying one function to the results of another function.

Tags

CCSS.HSF-BF.A.1C

Front

What is the formula for adding two functions f(x) and g(x)?

Back

(f + g)(x) = f(x) + g(x)

Tags

CCSS.HSF-BF.A.1B