Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x)=(x-7)/(x+3) ; g(x)=(-3x-7)/(x-1)

Answer 1

from f(x) , where you see x , replace by g(x) , after simplify, you will see it is = x
do the same with g(f(x) , where you see x in g( ), put f(x) in, after simplify, you will see it is = x , too.

Answer 2

again DAT SIT

Answer 3

f(x) = (x-7)(x-3)
y = (x-7)/(x-3)
if f and g are inverses
find the inverse of f and see if they match.


y = (x-7)/(x-3)
x = (y-7)/(y-3)
solve for y.

Answer 4

w.....w,,,,,,wwwut??? hehehehe... it's new to me.

Answer 5

((-3x-7)/(x-1)-7)/((-3x-7)/(x-1)+3 )=x
g(f(x))=(-3(x-7)/(x+3)-7)/((x-7)/(x+3)-1)=x
Ok now what?

Answer 6

what is that

Answer 7

@jessicak2 It is not DAT SIT to me, hehehe. wait for him

Answer 8

I plugged in one function into the other then solved and vice versa?

Answer 9

yes

Answer 10

yes?

Answer 11

yes

Answer 12

I'm sorry, I don't understand. Yes to what?

Answer 13

your inverse is not right, if f (x) = \(\Large \frac{x-7}{x-3}\) its inverse g(x ) must be
g(x)=\(\Large\dfrac{3x-7}{x-1}\)

Answer 14

Please check, because with a wrong problem, we cannot get the right answer

Answer 15

One more thing, Your problem is "CONFIRM" ; it implicitly indicates that f and g are inverse to each other.

Answer 16

Oh my goodness I put the wrong sign!?

Answer 17

If it is "CONSIDER", we can solve as @shamil98 suggested

Answer 18

oh yea, I can say DAT SIT again, hehehehe... good luck, just do it, it 's not hard

Answer 19

Thanks I got a 30/33 :)

Answer 20

good good good. congrats