Question

Find the inverse of function f. f(x) = 1 /2x+7

Answer 1

Answer:

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