Part 1 of 3 Evaluate the function $$ f(r)=\sqrt{r+2}-9 $$ at the given values of the independent variable and simplify. $$ \begin{array}{lll} ext { a. } f(-2) & ext { b. } f(62) & ext { c. } f(x-2)\end{array} $$

Question

Part 1 of 3 Evaluate the function $$ f(r)=\sqrt{r+2}-9 $$ at the given values of the independent variable and simplify. $$ \begin{array}{lll}	ext { a. } f(-2) & 	ext { b. } f(62) & 	ext { c. } f(x-2)\end{array} $$

UpStudy AI · Accepted Answer

Sure, let's evaluate the function $$ f(r) = \sqrt{r + 2} - 9 $$ for each of the given values.

### a. $$ f(-2) $$

**Step 1:** Substitute $$ r = -2 $$ into the function.
$$
f(-2) = \sqrt{(-2) + 2} - 9
$$

**Step 2:** Simplify inside the square root.
$$
f(-2) = \sqrt{0} - 9
$$

**Step 3:** Calculate the square root.
$$
f(-2) = 0 - 9 = -9
$$

**Answer:** $$ f(-2) = -9 $$

---

### b. $$ f(62) $$

**Step 1:** Substitute $$ r = 62 $$ into the function.
$$
f(62) = \sqrt{62 + 2} - 9
$$

**Step 2:** Simplify inside the square root.
$$
f(62) = \sqrt{64} - 9
$$

**Step 3:** Calculate the square root.
$$
f(62) = 8 - 9 = -1
$$

**Answer:** $$ f(62) = -1 $$

---

### c. $$ f(x - 2) $$

Here, we're evaluating the function at $$ r = x - 2 $$.

**Step 1:** Substitute $$ r = x - 2 $$ into the function.
$$
f(x - 2) = \sqrt{(x - 2) + 2} - 9
$$

**Step 2:** Simplify inside the square root.
$$
f(x - 2) = \sqrt{x} - 9
$$

**Answer:** $$ f(x - 2) = \sqrt{x} - 9 $$

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If you have further parts or additional questions, feel free to ask!
a. $$ f(-2) = -9 $$ b. $$ f(62) = -1 $$ c. $$ f(x - 2) = \sqrt{x} - 9 $$

Part 1 of 3 Evaluate the function \( f(r)=\sqrt{r+2}-9 \) at the given values of the independent variable and simplify. \( \begin{array}{lll}\text { a. } f(-2) & \text { b. } f(62) & \text { c. } f(x-2)\end{array} \)

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