Question

Find the inverse of the function f(x)= 5/6x+ 10

Answer 1

6/5 (x-10) = y

Explanation:

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

f(x) = 5/6 x+10

y = 5/6x+10

Exchange x and y

x = 5/6y +10

Subtract 10 from each side

x-10 = 5/6y+10-10

x-10 = 5/6y

Multiply each side by 6/5 to isolate y

6/5(x-10) =6/5*5/6 y

6/5 (x-10) = y