F(x) = 5x - 2 g(x) = 2x^2−x What is f^−1(x)?

Set up the composite result function.

g(f (x))

Evaluate:

g (f (x))

by substituting in the value of into .

g (5x −2) = 2 (5x −2)+

Simplify each term.

Apply the distibutive property: (A b + c) = ab + ac)

g(5x−2)= 10x−4+1

Add − 4  and 1.

so, g(5x−2)=10x −3

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt