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yKpoI14uk [10]
4 years ago
9

If g (x) = StartFraction x + 1 Over x minus 2 EndFraction and h(x) = 4 – x, what is the value of (g circle h) (negative 3)?

Mathematics
2 answers:
CaHeK987 [17]4 years ago
7 0

Answer:

\frac{8}{5}

Step-by-step explanation:

Given that g(x) = \frac{x + 1}{x - 2} and h(x) = 4 - x

Now, if y = f(x) and y = g(x) then the composite function (f∘g)(x) is given by f[g(x)].

Hence, (g∘h)(x) = g[h(x)] = \frac{(4 - x) + 1}{(4 - x) - 2} = \frac{5 - x}{2 - x} .......... (1)

Now, from equation (1) we get,

(g∘h)(x) = \frac{5 - x}{2 - x}

⇒ (g∘h)(- 3) = \frac{5 - ( - 3)}{2 - ( - 3)} = \frac{8}{5} (Answer)

icang [17]4 years ago
4 0

Answer:

The answer is 8/5

Step-by-step explanation:

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