Question

if f(x)=x,g(X)=3x,h(X)=x-2, prove that (FOG)oh=fo(GOH)

Answer 1

it is given that

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

then, we have to prove that

(fog)oh = fo(goh)

LHS = (fog)oh

first find fog or f(g(x))

fog = f(g(x)) = f(3x) = 3x

now, (fog)oh = fog(h(x))

= 3(x - 2) = 3x - 6

RHS = fo(goh)

first find goh or, g(h(x))

goh = g(h(x)) = g(x - 2)

= 3(x - 2) = 3x - 6

now, fo(goh) = f{g(h(x))}

= f(3x - 6)}

= (3x - 6) = 3x - 6

here LHS = RHS = 3x - 6

hence,(fog)oh = fo(goh)

Answer 2

Answer:

puriyala

Explanation:

I don't understand