Question

Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

Answer 1

The inverse is:

$f^{-1}(x) = x-4$

Further explanation:

Given function

$f(x) = x+4$

Step 1: Replacing f(x) with y

$y = x+4$

Step 2: Replacing x with y and y with x

$x = y+4$

Step 3: Solving the equation for y

$x = y +4\\x -4 = y+4-4\\y = x-4$

Step 4: Replacing y with f-1(x)

$f^{-1}(x) = x-4$

So, the inverse is:

$f^{-1}(x) = x-4$

Keywords: Functions, Inverse of function

Learn more about inverse of functions at:

• brainly.com/question/3225044
• brainly.com/question/4620451

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