Question

What is the inverse of y=x-5

Answer 1

well since your problem is y=x-5 you would want to flip the problem around

5-x=y now since you flipped it you would now want to change  the signs around 5+x = y

hope this helps

plz mark brainliest

Answer 2

Answer:

y=x+5

or

f(x)=x+5

Step-by-step explanation:

First we must interchange y with x and so:

$y=x-5\\\\x=y-5$

Now we will solve for our new "y" value:

$x=y-5\\\\x+5=y-5+5\\\\x+5=y$

And so the inverse of y=x-5 is y=x+5.

To check if we are correct we can choose any number for x (that is not zero or 1) so let's say for our original function x is 10 and so:

$f(10)=10-5\\f(10)=5$

Now we will plug this 5 into our inverse function and if we get back our original input, we know that this function is indeed the inverse function:

$f^{-1}(5)=5+5=10$

Note that y=f(x)