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castortr0y [4]
2 years ago
9

Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

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