Find the inverse of function f.

f (x) = 1 / 2x+7

f^-1/2 (x) = x/1/2-7/2

Step-by-step explanation:

Replace f (x) with y

Y=1/2x+7

Interchange the variable

X=1/2y+7

Solve For y

Rewrite the equation as

1/2y+7=x

Add - 7 to both side

1/2y+7-7=x-7

1/2y=x-7

Divide each term with 1/2

1/2y/1/2=x/1/2-7/1/2

Y=x/1/2-7/2

Solve for hand replace with f^-1/2 (x)

f^-1/2 (x) = x/1/2-7/2