Let $$ f(x)=x^{2}-18 $$ and $$ g(x)=4-x $$. Perform the composition or operation indice $$ \left(\frac{f}{g}\right)(-6) $$ $$ \left(\frac{f}{g}\right)(-6)=\square $$ (Simplify your answer. Type an integer or a fraction.)

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UpStudy AI · Accepted Answer

To find $$\left(\frac{f}{g}\right)(-6)$$, we first need to evaluate $$f(-6)$$ and $$g(-6)$$.

1. Calculate $$f(-6)$$:
   $$
   f(x) = x^2 - 18
   $$
   $$
   f(-6) = (-6)^2 - 18 = 36 - 18 = 18
   $$

2. Calculate $$g(-6)$$:
   $$
   g(x) = 4 - x
   $$
   $$
   g(-6) = 4 - (-6) = 4 + 6 = 10
   $$

3. Now, we can find $$\left(\frac{f}{g}\right)(-6)$$:
   $$
   \left(\frac{f}{g}\right)(-6) = \frac{f(-6)}{g(-6)} = \frac{18}{10}
   $$

4. Simplify $$\frac{18}{10}$$:
   $$
   \frac{18}{10} = \frac{9}{5}
   $$

Thus, the final answer is:
$$
\left(\frac{f}{g}\right)(-6) = \frac{9}{5}
$$
$$\frac{9}{5}$$

Let \( f(x)=x^{2}-18 \) and \( g(x)=4-x \). Perform the composition or operation indice \( \left(\frac{f}{g}\right)(-6) \) \( \left(\frac{f}{g}\right)(-6)=\square \) (Simplify your answer. Type an integer or a fraction.)

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