Question

f(x) = x-2/2 then what is f^–1(x)

Answer 1

u hv to find the inverse. do u know how?

Answer 2

no

Answer 3

oki

Answer 4

f(x) = -2x - 7

means: What value comes out when you use some value for x.

That right?

Answer 5

yes

Answer 6

is your f(x) (x-2)/2 ??

Answer 7

is it?

Answer 8

The inverse means: if we know the value that comes out, can we find the original value of x?

Answer 9

lets assume that it is

Answer 10

we artificially use a different variable to make the operation simpler to follow

Answer 11

So, let y = f(x) = (x-2)/2

Answer 12

can u find x in terms of y ?

Answer 13

no

Answer 14

oki, lets do it together:
y = (x-2)/2
means, 2y = x-2
clear till here?

Answer 15

k

Answer 16

2y + 2 = x
means, x = 2y + 2

Answer 17

we rewrite in terms of x:

f^(-1)(x) = 2x + 2

Answer 18

Thats your answer

Answer 19

we can check too:

f^(-1) [f(x)] = f^(-1)(2x+2) = [(2x+2) - 2]/2 = [+2x + 2 - 2]/2 = 2x/2 = x

OK for all values of x