The function $h$ is defined as follows.
\[
h(x)=\frac{x^{2}+x-12}{x^{2}-4 x-12}
\]
Find $h(5)$.
Simplify your answer as much as possible. If applicable, click on "Undefined".

Answer

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Answer

Final Answer: \[h(5) = \boxed{-\frac{18}{7}}\]

Steps

Step 1 ：The function h(x) is a rational function, which means it's a ratio of two polynomials. To find h(5), we need to substitute x = 5 into the function and simplify the result.

Step 2 ：Substitute x = 5 into the function: \[h(5)=\frac{5^{2}+5-12}{5^{2}-4 \times 5-12}\]

Step 3 ：Simplify the result to get a decimal number: h(5) = -2.5714285714285716

Step 4 ：Convert the decimal to a fraction to simplify the answer as much as possible: \[h(5) = -\frac{18}{7}\]

Step 5 ：Final Answer: \[h(5) = \boxed{-\frac{18}{7}}\]

The function $h$ is defined as follows.\[h(x)=\frac{x^{2}+x-12}{x^{2}-4 x-12}\]Find $h(5)$.Simplify your answer as much as possible. If applicable, click on "Undefined".

Answer

Popular Problems

The function $h$ is defined as follows.
\[
h(x)=\frac{x^{2}+x-12}{x^{2}-4 x-12}
\]
Find $h(5)$.
Simplify your answer as much as possible. If applicable, click on "Undefined".