Operations with Functions

Express your answer as a polynomial in standard form.

f(x) = -3x + 6

g(x) = x² - 6x + 3

Find: (g ₀ f)(x)

Tags

CCSS.HSF-BF.A.1C

Express your answer as a polynomial in standard form.

f(x) = -2x - 12

g(x) = 3x² - 7x - 12

Find: f(g(x))

Tags

CCSS.HSF-BF.A.1C

Express your answer as a polynomial in standard form.

f(x) = -2x + 1

g(x) = 2x² - 6x + 1

Find: g(f(x))

Tags

CCSS.HSF-BF.A.1C

Given the definitions of f(x) and g(x) below, find the value of g(f(-2)).

f(x) = 4x + 4

g(x) = x² - 4x - 6

Tags

CCSS.HSF-BF.A.1C

Given the definitions of f(x) and g(x) below, find the value of (g ₀ f)(-9)

f(x) = 2x + 14

g(x) = x² - 6x - 1

Tags

CCSS.HSF-BF.A.1C

Given the definitions of f(x) and g(x) below, find the value of (f ₀ g)(8)

f(x) = x² + x + 14

g(x) = -2x + 13

Tags

CCSS.HSF-BF.A.1C

Evaluate g(f(-6))

Tags

CCSS.HSF-BF.A.1C

Evaluate g(f(-1))

Tags

CCSS.HSF-BF.A.1C

Evaluate f(g(2)).

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.B.4A