what is the inverse of f(X)=17/12(x)-13

Question

Math help in algebra 2

Answer 1

to find the inverse you want to swap the position of the variables and then solve for the value of y in the new expression. so first you go from

y = 17/12x - 13 to

x = 17/12y - 13

then solve for the value of y algebraically

x + 13 = 17/12y

12/17(x + 13) = y

so the inverse function here is

f ^-1(x) = 12/17(x + 13)

Answer 2

First, turn f(x) into y, then switch it with x and solve again for y. Then change y to f'(x).

 

x = (17/12)y - 13

(17/12)y = x + 13

y = (12/17)x + 156/17

f'(x) = (12/17)x + 156/17