QuestionFind the domain of the function: $h(x)=\frac{x^{5}+2}{x 11}$ .

Studdy Solution

STEP 1

Assumptions1. The function is $h(x)=\frac{x^{5}+}{x11}$ . The domain of a function is the set of all possible input values (x-values) which will produce a valid output.
3. For a function to have a valid output, the denominator of the function cannot be equal to zero.

STEP 2

To find the domain of the function, we need to set the denominator equal to zero and solve for x.
$x11 =0$

STEP 3

Now, solve for x.
$x = \frac{0}{11}$

STEP 4

Calculate the value of x.
$x =0$

STEP 5

The denominator of the function cannot be zero, so the value of x that makes the denominator zero is not in the domain of the function. Therefore, the domain of the function is all real numbers except x =0.
The domain of the function $h(x)=\frac{x^{5}+2}{x11}$ is all real numbers except x =0.

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