Question

Find the Inverse function f^-1(x) for the given function f(x)=2/5x-2

Answer 1

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

Explanation:

To find the inverse function, exchange x and y and solve for y

y = 2/5 x -2

Exchange x and y

x = 2/5 y -2

Solve for y

Add 2 to each side

x+2 =2/5y-2+2

x+2 = 2/5 y

Multiply by 5/2 to isolate y

5/2(x+2) = 2/5 y * 5/2

5/2 (x+2) = y

5/2 x + 5 =y