Question

f(x) = 7x – 12, what is f^–1(x) ?

Answer 1

y=7x-12 (rewrite without function notation)
x=7y-12 (exchange the position of the x and y variables)
x+12=7y (solve for y; add 12)
y=(x+12)/7 (divide by 7)
then give the inverse function a name
\[f^{-1}(x)=\frac{1}{7}x+\frac{12}{7}\]

Answer 2

so is the answer (x+12/7?

Answer 3

(x+12)/7

Answer 4

No, the answer is f^-1(x) = (1/7)x + 12/7

Answer 5

one interesting characteristic re. a function and its inverse is that their graphs are symmetric about the line y=x (see attached file)