Function Operations & Compositions of Functions

Front

Evaluate f(x) = -2x + 4 for x = -5.

Back

f(-5) = 14

Tags

CCSS.HSF.IF.A.2

Front

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Back

(f + g)(x) = 5x² + 6x - 1

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = 3x - 1 and g(x) = x² + 2, what is (f ° g)(x)?

Back

(f ° g)(x) = 3x² + 5

Tags

CCSS.HSF-BF.A.1C

Front

Given g(x) = 3x + 4 and h(x) = 3x - 1, find (g∘h)(x).

Back

(g∘h)(x) = 9x + 1

Tags

CCSS.HSF-BF.A.1C

Front

Evaluate f(x) = x² - 2x + 1 for x = -1.

Back

f(-1) = 4

Tags

CCSS.HSF.IF.A.2

Front

What is the definition of function addition?

Back

Function addition is the operation where two functions f(x) and g(x) are combined to form a new function (f + g)(x) = f(x) + g(x).

Tags

CCSS.HSF-BF.A.1B

Front

What is the definition of function composition?

Back

Function composition is the operation where one function is applied to the result of another function, denoted as (f ° g)(x) = f(g(x)).

Tags

CCSS.HSF-BF.A.1C

Front

What is the formula for evaluating a linear function?

Back

For a linear function f(x) = mx + b, evaluate by substituting x into the equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the result of (f + g)(x) if f(x) = 2x and g(x) = 3x + 1?

Back

(f + g)(x) = 5x + 1.

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

(f ° g)(x) = (x + 1)² = x² + 2x + 1.

Tags

CCSS.HSF-BF.A.1C