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Ann [662]
3 years ago
15

If f(x)=2-x^1/2 and g(x)=x^2-9 , what is the domain of g(x)÷f(x)

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
First let P(x) = g(x)/f(x) = x^2 -  9 / 2 - x^0.5


The domain of the nominator is any value

The domain of the denominator is

Zeros of the denominator

2-x^0.5 = 0

-x^0.5 = -2

x^0.5 = 2

x = 4 

domain of x^0.5 is x >= 0 

(0,4) and (4, inf) 

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