Function Operations, Compositions, and Inverses

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

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSA.APR.A.1

f(x) = x²+9

g(x) = x-9

Find (f-g)(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

• 6x-1
• 5x²-15x-6
• -8x-6
• 5x²-13x-6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Given p(x) = x - 2, find p(-4).

• -6
• 6
• 2
• -2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x) = 2x - 5 and

g(x) = x² − 4x + 5

What is (g-f)(x) =

• x²-6x+10

• -x²+6x-10

• x²-6x

• -x²-2x

Tags

CCSS.HSA.APR.A.1

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute:  g(f(0))

• -3
• -1
• 6x - 3
• x² + 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute:  (h ^o g)(x)

• 3x² + 3
• -1
• 6x - 3
• 9x² + 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF.BF.B.4