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Kazeer [188]
3 years ago
12

If f(x) = x^2 - 25 and g(x) = x - 5, what is the domain of (f/g)(x)

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The domain of the function is all real numbers except number 5

Step-by-step explanation:

we have

f(x)=x^{2}-25

The domain of f(x) is all real numbers

g(x)=x-5

The domain of g(x) is all real numbers

(f/g)(x)=\frac{f(x)}{g(x)}

substitute

(f/g)(x)=\frac{x^{2}-25}{x-5}

Remember that

The denominator cannot be zero

For x=5 the denominator is equal to zero

therefore

The domain of the function is all real numbers except number 5

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