Question

The function f(x)=x+4 is one to one

find an equation for f^-1 (x).the inverse function

f^-1 (x)=

Answer 1

f(x)=x+4

This is saying the function is showing the input of x + 4. If we use a table for this, we would get something like this(see image). This is showing that y=x+4.

If you give the value of x, it shows the value of y. Let's say x=15. Here is our equation: y=15+4.

Let's add it together: y=19.

It says the function is 1:1, meaning that for every x it goes up, it also goes up 1 value of y.

Now for the inverse of a function. The inverse of a function reverses the function. So the inverse of y=x+4 would be x=y-4. this means for when you set the y value, it goes down by four and that would be your x. If my answer is incorrect, please explain the part of f^-1(x=. Thanks!

Here is an alternate possible answer:

f(x)=x+4

y=x+4

x=y-4

f^-1(x)=x-4

Answer 2

let y = x + 4

x = y - 4

so the inverse of f(x) = f-1 (x) = x - 4 (answer)