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coltonsteighner
07.06.2021 •
Mathematics
If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?
A.) 8/5
B.) 5/2
C.) 15/2
D.)18/5
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Ответ:
A. 8/5
Step-by-step explanation:
please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.
the used symbolism of a composite function is nothing else than asking for
g(h(x)) for x=-3.
so, first we need to calculate h(-3) = 4 - -3 = 7
then we take that result as argument for g : g(7) = 8/5
so, altogether
g(h(-3)) = g(7) = 8/5
we can do this generically for x by substituting x in g by the expression of h
g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)
for x = -3 this gives (5- -3)/(2- -3) = 8/5
Ответ:
No
Step-by-step explanation:
cosx = siny only if x = y = 45°
Otherwise
cosx° = sin(90 - x)°