Question

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

Answer 1

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

Answer 2

2(x-1)

Answer 3

=2(x-1)

Answer 4

yes, i don't understand this kind of problem

Answer 5

okay let's do it step by step

Answer 6

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
\[f ^{-1}(x)\]

Answer 7

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

Answer 8

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

Answer 9

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)

Answer 10

Thanks!

Answer 11

You're welcome :)

Answer 12

you are welcome Deadshot

Answer 13

so is it 2x-2 or 2x-1?