Let the function f, g and h defined as follows: $f: R- > R, f(x)=2x+3\\ g:R- > R, g(x)=3x+4\\ h:R- > R, h(x)=4x \\ \text{Find gof, fog, foh, hof, gofoh}$

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Let the function f, g and h defined as follows:

$f: R- > R, f(x)=2x+3\\ g:R- > R, g(x)=3x+4\\ h:R- > R, h(x)=4x \\ \text{Find gof, fog, foh, hof, gofoh}$

written 8.3 years ago by

teamques10 ★ 69k

modified 3.2 years ago by

sagarkolekar ★ 11k

discrete mathematics

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written 8.3 years ago by

teamques10 ★ 69k

$\text{g o f=g(f(x))=g(2x+3)=3(2x+3)+4=6x+13}$
$\text{f o g=f(g(x))=f(3x+4)=2(3x+4)+3=6x+11}$
$\text{f o h=f(h(x))=f(4x)=2(4x)+3=8x+3}$
$\text{h o f=h(f(x))=h(2x+3)=4(2x+3)=8x+12}$
$\text{g o f o h=g(f(h(x)))=g(f(4x))=g(2(4x)+3)=g(8x+3)=3(8x+3)+4=24x+13}$

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