Please Help!

If f(x) = x-2/2 , then what is f^–1(x) ?

I am trying to help my little brother on this question, it has been so long that I have forgotten how to do these type of problems.

Question

Please Help!

If f(x) = x-2/2 , then what is f^–1(x) ?

I am trying to help my little brother on this question, it has been so long that I have forgotten how to do these type of problems.

anonymous · Answer

These are the answers...

a. 2x + 2

b.  2x – 1

c.  2x – 2

d. 1/2x-1

potatoes.ramu · Answer

That is 1/(f(x))

potatoes.ramu · Answer

So you'll get the reciprocal of f(x)

anonymous · Answer

no actually it is the inverse function, not the reciprocal

anonymous · Answer

@Potatoes.ramu Do you  mind if you explain a more? I'm not really catching on.

anonymous · Answer

put 
$$x=\frac{y-2}{2}$$ and solve for $y$

zale101 · Answer

f(x) = (x - 2) / 2 
let f(x) be y
y = (x - 2) / 2 
since you're looking for f^-1, it means to look for the inverse, 
which means to interchange y to x and x to y
x = (y - 2) / 2 
multiply both sides by 2
2x = y - 2 
add 2 to both sides
2x + 2 = y 
now switch the y for f^-1(x)
f^-1(x)=2x+2

anonymous · Answer

@bobers  go with @Zale101  answer, it is the correct one

anonymous · Answer

@satellite73 Thank you.