F.BF.B.4.d: Produce an invertible function from a non-invertible function by restricting the domain.

Produce an invertible function from a non-invertible function by restricting the domain.

Example Problems

g(x) = \sqrt[3]{x + 8}

h(x) = x^3 - 8

What is the value of

g(h(5))

?

g(x) = \sqrt[3]{x + 8}

h(x) = x^3 - 8

What is the value of

h(g(-16))

?

Functions f and g are invertible functions.

f(x) = 3x + 4

and

g(x) = \frac{x + 4}{3}

Are functions f and g inverses?

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