Given that $$ g(x)=\frac{x-6}{x+5} $$, find cach of the following. $$ \begin{array}{llll} ext { a) } g(9) & ext { b) } g(6) & ext { c) } g(-5) & ext { d) } g(-13.25) \ ext { a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. } \ ext { a }(x+h)\end{array} $$ A. $$ g(9)=\frac{3}{14} $$ (Simplify your answer.) B. $$ g(9) $$ does not exist. C. $$ g(9) $$ is not a real number. Belect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ g(6)=\square $$ B. $$ g(6) $$ does not exist C. $$ g(6) $$ is not a real number.

Question

Given that $$ g(x)=\frac{x-6}{x+5} $$, find cach of the following. $$ \begin{array}{llll}	ext { a) } g(9) & 	ext { b) } g(6) & 	ext { c) } g(-5) & 	ext { d) } g(-13.25) \ 	ext { a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. } \ 	ext { a }(x+h)\end{array} $$ A. $$ g(9)=\frac{3}{14} $$ (Simplify your answer.) B. $$ g(9) $$ does not exist. C. $$ g(9) $$ is not a real number. Belect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ g(6)=\square $$ B. $$ g(6) $$ does not exist C. $$ g(6) $$ is not a real number.

UpStudy AI · Accepted Answer

Let's evaluate the function $$ g(x) = \frac{x - 6}{x + 5} $$ for the given values step by step.

---

### **a) Find $$ g(9) $$**

**Calculation:**
$$
g(9) = \frac{9 - 6}{9 + 5} = \frac{3}{14}
$$

**Correct Choice:**
**A.** $$ g(9) = \frac{3}{14} $$

---

### **b) Find $$ g(6) $$**

**Calculation:**
$$
g(6) = \frac{6 - 6}{6 + 5} = \frac{0}{11} = 0
$$

**Correct Choice:**
**A.** $$ g(6) = 0 $$

---

### **c) Find $$ g(-5) $$**

**Calculation:**
$$
g(-5) = \frac{-5 - 6}{-5 + 5} = \frac{-11}{0}
$$

**Interpretation:**
Division by zero is undefined in real numbers.

**Correct Choice:**
**B.** $$ g(-5) $$ does not exist.

---

### **d) Find $$ g(-13.25) $$**

**Calculation:**
$$
g(-13.25) = \frac{-13.25 - 6}{-13.25 + 5} = \frac{-19.25}{-8.25} = \frac{19.25}{8.25} = \frac{77}{33} \approx 2.333\ldots \approx \frac{7}{3}
$$

**Correct Choice:**
**A.** $$ g(-13.25) = \frac{7}{3} $$

---

### **Summary of Answers:**

- **a.** **A.** $$ g(9) = \frac{3}{14} $$
  
- **b.** **A.** $$ g(6) = 0 $$
  
- **c.** **B.** $$ g(-5) $$ does not exist.
  
- **d.** **A.** $$ g(-13.25) = \frac{7}{3} $$

Feel free to reach out if you need further clarification on any of these parts!
a) $$ g(9) = \frac{3}{14} $$ b) $$ g(6) = 0 $$ c) $$ g(-5) $$ does not exist. d) $$ g(-13.25) = \frac{7}{3} $$

Given that , find cach of the following.

A.
(Simplify your answer.)
B. does not exist.
C. is not a real number.
Belect the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
B. does not exist
C. is not a real number.

Solución de inteligencia artificial de Upstudy

Responder

Solución

a) Find

b) Find

c) Find

d) Find

Summary of Answers:

Mind Expander

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Given that , find cach of the following. A. (Simplify your answer.) B. does not exist. C. is not a real number. Belect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. B. does not exist C. is not a real number.