Function Operations and Inverse Functions Quiz

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

Given: f(x)=x²+1 and g(x)=2x-5

Find: f(x) - g(x)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Given: f(x) = 4x+8 and g(x) = x+3

Find: f(x) * g(x)

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Given: g(x) = -3x+7 and h(x) = -x-10

Find: g(x)/h(x) and the domain restriction

• -3x+7/-x-10 domain restriction x ≠ 7/3

• -3x+7/-x-10 domain restriction x ≠ -7/3

• -3x+7/-x-10 domain restriction x ≠ 10

• -3x+7/-x-10 domain restriction x ≠ -10

Given: f(x) = 3x + 10 and g(x) = x - 2

Find: f(g(5))

• 19

• 23

• -10

• 25

Given: p(x) = 3x + 4 and q(x) = 2x²

Find: q(p(-2))

• 8

• -8

• 28

• -28

Given: f(x) = x² + x and g(x) = 3x + 1

Find: f(g(4))

• 182

• 40

• 61

• 13

Given: f(x) = 3x + 10 and g(x) = x - 2

Find: f(g(x))

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

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

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF.BF.B.4