- Find the equation of the inverse for each function. State which of the following inverses are functions.
- a. f(x) = 1/2 x - 3
- b. f(x) = 4x 2 - 5
c. A(r) = 4(Pi)r2
a) First, write the equation as
Interchange the x and y.
Solve for y.
The inverse is also a linear function.
b) Follow same procedure as (a) above.
This inverse is not a function because any acceptable value of domain x yields two values for range y.
c) Follow same procedure as (a) above.
This inverse is not a fraction because any acceptable value of domain r yields 2 values for range y.