Question

Find the inverse of f(x)

Answer 1

`\huge\boxed{A.\ f^(-1)(x)=(x-3)/(5)}`

Explanation:

`f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\(5\!\!\!\!\diagup y)/(5\!\!\!\!\diagup)=(x-3)/(5)\\\\y=(x-3)/(5)\to f^(-1)(x)=(x-3)/(5)`