Lesson 7.1 Inverse functions and Function Composition (Alg4)

Use the information from the problem above to write Ted’s cost T as a function of the purchase cost P.

Now, use the function to find Ted’s cost when the original cost of his items is $54.

Write a function that applies the gift card first and then the discount?

Should he ask for the gift card to be applied before or after a discount? Explain.

A small rock is thrown into a pool from the shore, creating ripples in the water. The ripples form concentric circles. The function r(t) = 14t models the radius (in inches) of the outer ripple t seconds after the rock enters the water. Write a function for the area (in square inches) of the outer ripple as a function of time (in seconds). What is the approximate area of the circle defined by the outer ripple 6 seconds after the rock was dropped? Round to the nearest whole square inch.

What is the inverse function of E(s)?

Describe the domain and range of s(E), the inverse, in the context of the situation.

Determine Sally’s weekly sales when she earns a total of $2000 for the week.

How far will the moon be from Earth in 1000 million years from now?

Find

of the following functions.

Find

of the following functions.

Find

of the following functions.

Find

of the following functions.

Find the inverse of the following function.