Question

If f(x) = 4x-3, which of the following is the inverse of f(x)?

7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math

Answer 1

`\huge\boxed{f^(-1)(x)=(x+3)/(4)=(1)/(4)x+(3)/(4)}`

Explanation:

`f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\(4y)/(4)=(x+3)/(4)\\\\y=(x+3)/(4)\to y=(1)/(4)x+(3)/(4)`