lucasthrasher13
Answered

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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​

If Gx X2x2 And Hx 4 X What Is The Value Of GoH3A 85B 52C 152D185 class=

Sagot :

reinhard10158

Answer:

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

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