Find the domain and intercepts. $$ f(x)=\frac{90}{x-5} $$ Find the domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is all real $$ x $$, except $$ x=\square $$. B. The domain is all real numbers.

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**Step 1: Find the Domain**

The function is given by  
$$
f(x)=\frac{90}{x-5}.
$$  
The domain is defined as all values of $$x$$ for which the function is defined. The only restriction occurs when the denominator is zero, since division by zero is undefined.

Set the denominator equal to zero and solve for $$x$$:
$$
x-5=0 \quad \Rightarrow \quad x=5.
$$

Thus, the function is undefined when $$x=5$$.

**Conclusion for Domain:**  
The domain is all real numbers except $$x=5$$.

Select the correct choice:  
**A. The domain is all real $$ x $$, except $$ x=5 $$.**

---

**Step 2: Find the Intercepts**

*X-intercept:*  
To find the $$x$$-intercept, set $$f(x)=0$$:
$$
\frac{90}{x-5}=0.
$$
A fraction equals zero only when the numerator is zero. Since the numerator is $$90$$, which is not zero, there is no solution for $$x$$.

Thus, there is **no $$x$$-intercept**.

*Y-intercept:*  
To find the $$y$$-intercept, set $$x=0$$:
$$
f(0)=\frac{90}{0-5}=\frac{90}{-5}=-18.
$$

Thus, the $$y$$-intercept is at $$(0,-18)$$.

---

**Final Answers:**

- **Domain:** All real numbers except $$ x=5 $$.  
- **X-intercept:** None.  
- **Y-intercept:** $$(0,-18)$$.
**Domain:** All real numbers except $$ x=5 $$. **X-intercept:** None. **Y-intercept:** $$(0, -18)$$.

Find the domain and intercepts. \( f(x)=\frac{90}{x-5} \) Find the domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is all real \( x \), except \( x=\square \). B. The domain is all real numbers.

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