Quiz

The Inverse Function — Lesson quiz

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What is the inverse of f(x) = 5x + 2?

(x − 2) ÷ 5

(x + 2) ÷ 5

5x − 2

(2 − x) ÷ 5

What is the inverse of f(x) = x³ − 8?

∛(x − 8)

∛(x + 8)

(x + 8)³

x³ + 8

If f(x) = 2x − 6, what is f⁻¹(10)?

−2

Does f(x) = |x| have an inverse on all real numbers?

Yes, because |x| is always positive

Yes, because its outputs are never negative

Yes, because |x| reverses the sign of x

No, because |2| = |−2| = 2, so f is not one-to-one

If f(x) = 1 ÷ (x + 2), what is f⁻¹(x)?

1/x − 2

1/(x − 2)

1/(x + 2)

1/x + 2

If (1, 4) lies on the graph of f, which point lies on the graph of f⁻¹?

(1, 4)

(4, 1)

(−1, 4)

(4, −1)