Asked by Pax
I'm trying to make sure I got this question right. I'm supposed to find (g * f)(x) when f(x)x^2-2x and g(x)=√(x-15).
This is what I've got:
(g * f)(x) = g(f(x))
√ (x^2-2x)-15=
√(x^2-2x-15)=
√(x-5)(x+3)
This is what I've got:
(g * f)(x) = g(f(x))
√ (x^2-2x)-15=
√(x^2-2x-15)=
√(x-5)(x+3)
Answers
Answered by
Steve
Hmmm.
(g*f)(x) = g(x)*f(x)
= √(x-15)(x^2-2x)
The composite function
(g◦f)(x) = g(f(x))
= √(f-15)
= √(x^2-2x-15)
Your factoring is correct, but I see no advantage to it. It ought also to be written as √((x-5)(x+3)) to avoid confusion with
√(x-5) * (x+3)
since usually parentheses delimit arguments of functions.
(g*f)(x) = g(x)*f(x)
= √(x-15)(x^2-2x)
The composite function
(g◦f)(x) = g(f(x))
= √(f-15)
= √(x^2-2x-15)
Your factoring is correct, but I see no advantage to it. It ought also to be written as √((x-5)(x+3)) to avoid confusion with
√(x-5) * (x+3)
since usually parentheses delimit arguments of functions.
Answered by
Pax
Alright, so if the question is asking for a * then I multiply both functions together, but if its asking for a ◦ then I plug in one function the the other?
ps,
Thanks for your help!
ps,
Thanks for your help!
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