Function Operations and Inverses

Given f(x) = 2x and g(x) = x² + 3

find f(g(x)).

• x² + 2x + 3

• 4x² + 3

• 2x² + 3

• 2x² + 6

Tags

CCSS.HSF-BF.A.1C

When f(x) = x² - 9 and g(x) = x + 3 , find f(x) / g(x).

• x - 3

• x + 3

• x - 12

• x - 6

Tags

CCSS.HSF-BF.A.1B

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C

Are the following inverses of each other?

• True

• False

Tags

CCSS.HSF-BF.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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.HSF-BF.A.1C

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Tags

CCSS.HSF-BF.B.4C

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)

• f^-1(x) = (8x-1)/3

• f^-1(x) = (x-8)/3

• f^-1(x) = (x+8)/3

Tags

CCSS.HSF-BF.B.4A

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.HSF-BF.A.1C