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If g(x)=(x+1)/(x-) and h(x) = 4 - x, what is the value of (g*h)(-3)?

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Final answer:

To find the value of (g*h)(-3) with g(x) assumed to be (x+1)/(x-1) and h(x) = 4 - x, we first evaluate g(-3) = 1/2 and h(-3) = 7, then multiply these results to get (g*h)(-3) = 3.5.

Step-by-step explanation:

We were asked to find the value of (g*h)(-3) given that g(x) = (x+1)/(x-) and h(x) = 4 - x.

First, we need to correct the typo in the function g(x).

Assuming the correct expression is g(x) = (x+1)/(x-1),

we can proceed to find g(-3) and h(-3) separately.

Step 1: Calculate g(-3) which is ((-3)+1)/((-3)-1) = (-2)/(-4) = 1/2.

Step 2: Calculate h(-3) which is 4 - (-3) = 7.

Step 3: Multiply g(-3) by h(-3) to get (g*h)(-3) which is (1/2) * 7 = 3.5.

Therefore, the value of (g*h)(-3) is 3.5.

User Johnson Samuel
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