Unit 1: Quiz 8 - Function Inverses

If f(x) = 3x and g(x) = 1/3 x, which expression could be used to verify that g(x) is the inverse of f(x)?

1/3(3x)

If f(x) and f⁻¹(x) are inverse functions of each other and f(x) = 2x+5, what is f⁻¹(8)?

3/2

Which statement could be used to explain why f(x) = 2x - 3 has an inverse relation that is a function?

f(x) is a one-to-one function.

If f(x) = 5x, what is f⁻¹(x)?

f⁻¹(x) = 1/5 x

Which function has an inverse that is a function?

m(x) = -7x

Which function has an inverse that is also a function?

{(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

The function h(x) is given below. h(x) = {(3, -5), (5, -7), (6, -9), (10, -12), (12, -16)} Which of the following gives h⁻¹(x)?

{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}