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dontrailgrant98
26.07.2019 •
Mathematics
Given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10)) me i am .3 points away from passing.
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Ответ:
The answer (g(x))=x−7
g(f(x))=√x2−7
Explanation:Put g inside f to find f(g(x))
f(x)=x2−4
g(x)=√x−3
f(g(x))=(√x−3)2−4
f(g(x))=x−3−4
f(g(x))=x−7
Put f inside g to find g(f(x))
g(x)=√x−3
f(x)=x2−4
g(f(x))=√x2−4−3
g(f(x))=√x2−7:
The answers are f(g(x))=x−7
Explanation:and g(f(x))=√x2−7
This is a composition of functions.
f(x)=x2−4
g(x)=√x−3
fog(x)=f(g(x))=f(√x−3)=(√x−3)2−4
=x−3−4=x−7
And
gof(x)=g(f(x))=g(x2−4)=√(x2−4)−3
=√x2−4−3=√x2−7
You can see that
f(g(x))≠g(f(x))
Ответ:
the answer to that should be 8