Question

If f(x) = (5x + 3)/(4x-5), x is not equal to 5/4, show that fof is an identity function.

Answer 1

you mean like a composite function, f(f(x))

Answer 2

\[f(x)=\frac{5x + 3}{4x-5}\]
\[f(f(x))=\frac{5\left(\frac{5x + 3}{4x-5}\right) + 3}{4\left(\frac{5x + 3}{4x-5}\right)-5}\]

Answer 3

yes

Answer 4

So will I have to solve it sir

Answer 5

simplify it

Answer 6

if done correctly...you will get x

Answer 7

yes i got x

Answer 8

good

Answer 9

SO fof is identity function . Right ?

Answer 10

not usually

Answer 11

in this question !

Answer 12

yes..for this question..but not in general

Answer 13

ok sir thanks again but please stay online i have to ask 8 more questions

Answer 14

Please

Answer 15

there are others here that can also help you :)

Answer 16

sir please

Answer 17

will anyone else help me

Answer 18

In general
\[f(f^{-1}(x)) = x\]
this is a special case where
\[f^{-1}(x) = f(x)\]

Answer 19

dumbcow will u help me

Answer 20

ok

Answer 21

post your questions
someone will help you