Question

Find the inverse of the function.

f(x) = 7x + 8 (5 points)

Оа

X-8

f'x) = 7

Oь

X + 8

F'(x) = 7

Not a one-to-one function

Od

Х

F(x)= 7

8

Answer 1

Explanation:

Give f(x) = 7x+8, to find its inverse, the following steps should be followed.

Step 1: let y = f(x)

y = 7x+8

Step 2:

Replace y with x and x with y

x = 7y+8

Step 3:

Make y the subject of the formula;

7y = x-8

Step 4:

Divide both sides by 7

7y/7 = (x-8)/7

y = (x-8)/7

Replace y with f^-1(x)

The inverse of the function is (x-8)/7

f^-1(x) = (x-8)/7