Question

find formulae for fogoh
f(x)=1/1+x , g(x)=3root x , h(x)=1/x power 3

Answer 1

first find goh (x),can u ?

Answer 2

no

Answer 3

goh means replace each x in the function g with 1/x

Answer 4

So do that and post your result.

Answer 5

goh (x) can be found by replacing 'x' in g(x) by h(x)=1/x^3

Answer 6

f{g(1/x^3)}

Answer 7

Replace x in the function f with that result and you will be done except for simplification

Answer 8

see this :
when i replace 'x' in g(x) by 1/x^3, i get
goh(x) = \(3 \sqrt{1/x^3}=3 \sqrt{x^{-3}}\)
got this ?

Answer 9

can i show my whole solution then you tell me

Answer 10

sure, if incorrect, we'll spot the error.

Answer 11

ok wait for a while

Answer 12

f [ g {h(x) } ]
f [ g (1/x^3) ]
f [ 3root 1/x^3 ]
f [ 3 root x power -3 ]
tell me is this ans ?

Answer 13

thats just \(f(3\sqrt{x^{-3}})\)
you need to evaluate it by replacing x by \(3\sqrt{x^{-3}}in f(x
)\)