Discuss the below:
1) Which of the given functions is a one-to-one function? Select all that apply
g(x)=2sqrt(x+5)
g(x)=5x^2-2
h(x)=x^4+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)=3sqrt(x)
f(x)=-2x+3
g(x)=2x^2-3x
f(x)=1/x
h(x)=x^4+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).