Unit 3 Test Retake

Find the inverse of

f(x) = x⁴ - 3

• y^-1 = ∜(x + 3)

• y^-1 = ∜(x) + 3

• y^-1 = ∜(x - 3)

• y^-1 = ∜(x) - 3

Given f(x) = 4x - 12 and g(x) = ¼x + 3, determine if f(x) & g(x) are inverses using composition of functions.

• f(x) and g(x) ARE functions because both composite function equations equal x.

• f(x) and g(x) are NOT functions because both composite function equations equal x.

• f(x) and g(x) ARE functions because neither composite function equations equal x.

• f(x) and g(x) are NOT functions because neither composite function equations equal x.

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

find f(g(x))

• 2x² + 7

• 2x² - 4

• -2x² + 2

• -2x² + 5

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

find f(x) - g(x)

• x² - 2x + 2

• -x² + 2x + 3

• x² + 2x - 4

• -x² + 2x + 2

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

find g(f(-3))

• 52

• -46

• -33

• 28

Given g(x) = -5x + 3 and h(x) = 2x - 7,

find h(x) + g(x)

• -3x - 10

• -3x - 4

• 7x - 4

• 7x - 10

Given g(x) = -5x + 3 and h(x) = 2x - 7,

find g(x) ∗ h(x)

• -10x² - 29x - 21

• -3x² - 29x - 4

• -10x² + 41x - 21

• -3x² + 41x - 4

Given g(x) = -5x + 3 and h(x) = 2x - 7,

find h(-8) - g(2)

• -36

• -10

• -30

• -16

Given f(x) = 3x + 5 and g(x) = x² - 1,

find g(f(x - 2))

• 9x² - 6x

• 9x² + 18x + 8

• 3x² - 12x + 14

• 3x² - 4x + 8

Is the inverse of f(x) = (x + 1)³ - 2 a function? Why or why not?

• f^-1(x) IS a function because f(x) passes the horizontal line test.

• f^-1(x) is NOT a function because f(x) fails the horizontal line test.

• f^-1(x) IS a function because f(x) passes the vertical line test.

• f^-1(x) is NOT a function because f(x) fails the vertical line test.

• f^-1(x) is NOT a function because f(x) fails BOTH the vertical and horizontal line tests.