This is what I got:
Blue: $g(x)$
Red: $f(x)$
Yellow: $(g\circ f)(x)$
Green: $(f\circ g)(x)$
Given $f(x)=2x-6$ and $g(x)=x+3$, sketch the graph of $f(x), g(x), (f\circ g)(x)$, and $(g\circ f)(x)$
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$\begingroup$
graphing-functions
function-and-relation-composition
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0what is the meaning of your $*$?Composition or product? – 2017-01-14
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0Product, sorry. – 2017-01-14
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1@DfasdSadsadasd But you have done the composition of the functions – 2017-01-14
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1If $*$ was composition it would be correct, but as product the last two are wrong. – 2017-01-14
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3Well product is commutative, so that immediately throws up a flag that something's amiss. – 2017-01-14
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0My bad guys, I meant composition haha – 2017-01-14
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2Okay, all your graphs are correct. – 2017-01-14
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0Thank you! Sorry for the confusion – 2017-01-14
1 Answers
0
Your answer is correct.
Blue line for f(x) = 2x - 6
Pink for g(x) = x + 3
Green for fog(x) = 2x
Yellow for gof(x) = 2x - 3