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:
y=x+5
or
f(x)=x+5
Step-by-step explanation:
First we must interchange y with x and so:
[tex]y=x-5\\\\x=y-5[/tex]
Now we will solve for our new "y" value:
[tex]x=y-5\\\\x+5=y-5+5\\\\x+5=y[/tex]
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:
[tex]f(10)=10-5\\f(10)=5[/tex]
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:
[tex]f^{-1}(5)=5+5=10\\[/tex]
Note that y=f(x)