Question

give f(x)=2x+3,g(x)= 1-2x and h(x)=3x. prove that fo(goh)=(fog) oh ​

Answer 1

Answer:

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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

→1-12x answer..