Suppose fx 5x 2 Evaluate f11 Check your answer by evaluati

Suppose f(x) = 5x - 2. Evaluate f^-1(-1). Check your answer by evaluating the appropriate function at your answer. Enter the exact answer in fraction form if necessary. f^-1(-1) =

Solution

f(x)=5x-2

Let f(x)=y

y=5x-2

Switching x and y we get

x=5y-2

x+2=5y

y=(x+2)/5

f^-1(x)=(x+2)/5

f^-1(-1) =(-1+2)/5 = 1/5