anonymous 3 years ago If f(x) = x plus 2, all over 2, then what is f^-1(x) ?

1. kropot72

$y=\frac{x+2}{2}$ The next step is to interchange x and y. Do you want me to take you thru it?

2. anonymous

2(x-1)

3. anonymous

=2(x-1)

4. anonymous

yes, i don't understand this kind of problem

5. anonymous

okay let's do it step by step

6. kropot72

When we interchange x and y we get $x=\frac{y+2}{2}$ Now we need to solve for y by multiplying both sides by 2 giving$2x=y+2$ Now you can subtract 2 from both sides to find y which is $f ^{-1}(x)$

7. anonymous

so then, it would be 2x - 2 = y, right?

8. kropot72

@DeadShot Good work. Youare correct. You can factorise 2x - 2 = 2(x - 1)

9. anonymous

f(x) = (x+2)/2 =>y=(x+2)/2 2y= x+2 x=2y-2 x=2(y-1) find f^-1(x) f^-1(x) = 2(x-1)

10. anonymous

Thanks!

11. kropot72

You're welcome :)

12. anonymous