Find a function f that models the investigators fee as a

Question

1) Which of the given functions is a one-to-one function? Select all that apply

g(x)=2√(x+5)
g(x)=5x²-2
h(x)=x⁴+5
f(x)=Abs(x)
f(x)=-5x+2

2) Which of the given functions is a one-to-one function? Select all that apply

g(x)=3√(x)
f(x)=-2x+3
g(x)=2x²-3x
f(x)=1/x
h(x)=x⁴+5

3) Assume that f is a one to one function

A) If f(-2)=2, find f^-1(2)
B)If f^-1(6)=-4, find f(-4).

4) A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 44 minutes. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows.

V(t)=100(1-t/44)²

A) Find V^-1
b) Find V^-1(18). Round your answer to the nearest tenths place.

5) For his services, a private investigator requires a $600 retention fee plus $105 per hour. Let x represent the number of hours the investigator spends working on a case.

(a) Find a function f that models the investigator's fee as a function of x.
(b) Find f^-1(x).
(c) Find f^-1(1650).