Question

Which of the following is the inverse of F) =-2x+ 3?​

Answer 1

`\boxed{f^(-1)(x)=(x-3)/(-2)}`

Explanation:

The inverse of the function satisfies the following:

`f(a)=b \qquad \implies \qquad f^(-1)(b)=a`

Given the expression:

`f(x)=-2x+ 3`

The inverse function can be calculated with the next steps:

• replace
  `f(x)` with
  `y`

• Solve for the variable x based on the variable y.

• Variables are swapped.

`\begin{aligned}f(x)=-2x+3 &\rightarrow y=-2x+3\\&\rightarrow y-3=-2x\\& \rightarrow x= (y-3)/(-2) \\&\therefore f^(-1)(x)=(x-3)/(-2)\end{aligned}`

Hope it helps.

`\text{-B$\mathfrak{randon}$VN}`