Question

If f(x)=3x - 15', thenNf^(-1)(x)=
Enter the correct answer.

Answer 1

`\large\boxed{f^(-1)(x)=(1)/(3)x+5}`

Explanation:

`f(x)=3x-15\to y=3x-15\\\\\text{exchange x to y and vice versa:}\ x=3y-15\\\\\text{solve for}\ y:\\\\3y-15=x\qquad\text{add 15 to both sides}\\\\3y=x+15\qquad\text{divide both sides by 3}\\\\y=(x)/(3)+5\\\\y=(1)/(3)x+5`