Question

If f(x)=2x+3,g(x)=1-2x and h(x)=3x P.T fo(goh)=(fog)oh​

Answer 1

Answer:

1-12x

Step-by-step explanation:

f(x)=2x+3,g(x)=1-2x and h(x)=3x

L.H.S=fo(goh)

goh(x)=go(h(x))=1-2(3x)=1-6x

fo(goh)=2(1-6x)+3=2-12x+3=1-12x

R.H.S= (fog)oh

fog=f(g(x))=2(1-2x)+3=2-4x+3=1-4x

(fog)oh=1-4(3x)=1-12x

L.H.S=R.H.S

Answer 2

Answer:fo(goh)=(fog)oh

Step-by-step explanation:LHS

fo(goh)=fo(g(h(x)=fo(g(3x))

=fo(1-2(3x)) =fo(1-6x) =2(1-6x)+3

=5-12x

RHS- (fog) oh

=f(g(x))oh = f(1-2x)oh = 2(1-2x)oh

=5-4(3x) =5-12x

Hence, LHS = RHS