Question

NEED DONE ASAP PLEASE

Answer 1

The inverse of the function
`\(f(x) = (1)/(4)x + 10\) is \(f^(-1)(x) = 4x - 40\)`, making option B,
`\(f^(-1)(x) = 4x - 40\)`, the correct choice.

To find the inverse of the function
`\(f(x) = (1)/(4)x + 10\)`, you switch the roles of x and y and then solve for y.

1. Replace f(x) with y:

`\[y = (1)/(4)x + 10\]`

2. Swap x and y:

`\[x = (1)/(4)y + 10\]`

3. Solve for y:

`\[4x = y + 40\] \[y = 4x - 40\]`

Therefore, the inverse function is:

`\[f^(-1)(x) = 4x - 40\]`

So, the correct answer is:

B.
`\(f^(-1)(x) = 4x - 40\)`