compositions and inverses

If f(x)=(2/3)x² + 1 and g(x)=6x-15, which polynomial is equivalent to g(f(x))?

• 4x² - 13

• 4x² - 9

• 4x³ - 10x² + 6x - 15

• 16x² - 80x + 101

Given f(x)=4x⁴ - 15 and g(x)=2x + 11, what is the value of g(f(x))?

• 8x⁵ + 44x⁴ - 30x - 165

• 8x⁵ - 165

• 8x⁴ - 4

• 8x⁴ - 19

The point (-2, 1) lies on the graph of f(x). Which point lies on the graph of f^-1(x)?

• (1, -2)

• (2, -1)

• (1, 2)

• (-1, 2)

If f(x)=x²+3x and g(x)=2x², what is g(f(-1))?

• -4

• 0

• 8

• 10

If g(x) = 2x + 1 and h(x) = x - 4, what is h(g(x))?

• 2x - 3

• 2x² - 7x - 4

• 3x - 3

• 2x - 7

What is the inverse of f(x) = x + 3?

• f^-1(x) = x - 3

• f^-1(x) = 3x

• f^-1(x) = x + 3

• f^-1(x) = x/3

For a function p(x) = x² - 9, what is the inverse function?

• p^-1(x) = √(x+9)

• p^-1(x) = √(x-9)

• p^-1(x) = -√(x+9)

• p^-1(x) = -√(x-9)

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

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

Which of the following functions are inverses?

• f(x) = 3x-1

  g(x) = (1/3)x+1

• f(x) = 3x-8

  g(x) = (x+8)/3

• f(x)=3x-8

  g(x) = (1/3)x+8

• f(x) = 2x+9

  g(x) = 2x-9