what is the inverse function of 5/2x+4

Question

I dont understand this problem

Answer 1

5/2x+4

f(x) = (5/2)x + 4

y = (5/2)x + 4

x = (5/2)y + 4

(5/2)y = x - 4

y = (2/5)x - (4)(2/5)

y = (2/5) x - (8/5)

f^-1(x) = (2/5)x - (8/5)

How to find the inverse of a function:

          STEP 1:  Stick a "y" in for the "f(x)."

          STEP 2:  Switch the x and y.

          STEP 3:  Solve for y.

STEP 4:  Stick

in for the "y."

THEN, CHECK IT!