If f(x) =x+3/4x-5
g(x) =3+5x/4x-1
then verify that (fog) (x) = x.
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Answer:
Step-by-step explanation:
Given:
f(x)=x+3/4x-5
g(x)=3+5x/4x-1
then,
f.g(X)=f{g(X)}
=f{3+5x/4x-1}
={(3+5x)/(4x-1)+3}/{4(3+5x)/(4x-1)-5}
={(3+5x+12x-3)/12+20x-20x+5}
= X (proved). .........
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