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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because if you have 2 negative circles ●● and 8 positive circles ○○○○○○○○ then once you take away the first two circles you get you answer. You do the opposite. :) ( hope that make sense... )