Evaluate the function $$ f(x)=7 x+9 $$ at the given values of the independent variable and simplify. $$ \begin{array}{lll} ext { a. } f(6) & ext { b. } f(x+2) & ext { c. } f(-x)\end{array} $$

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Evaluate the function $$ f(x)=7 x+9 $$ at the given values of the independent variable and simplify. $$ \begin{array}{lll}	ext { a. } f(6) & 	ext { b. } f(x+2) & 	ext { c. } f(-x)\end{array} $$

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Let's evaluate the function $$ f(x) = 7x + 9 $$ for each of the given inputs.

### a. $$ f(6) $$

To find $$ f(6) $$, substitute $$ x $$ with 6:

$$
f(6) = 7(6) + 9 = 42 + 9 = 51
$$

**Answer:** $$ f(6) = 51 $$

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### b. $$ f(x + 2) $$

To find $$ f(x + 2) $$, substitute $$ x $$ with $$ x + 2 $$:

$$
f(x + 2) = 7(x + 2) + 9
$$

Now, distribute the 7:

$$
f(x + 2) = 7x + 14 + 9
$$

Combine like terms:

$$
f(x + 2) = 7x + 23
$$

**Answer:** $$ f(x + 2) = 7x + 23 $$

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

To find $$ f(-x) $$, substitute $$ x $$ with $$ -x $$:

$$
f(-x) = 7(-x) + 9
$$

Simplify the expression:

$$
f(-x) = -7x + 9
$$

**Answer:** $$ f(-x) = -7x + 9 $$

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Feel free to ask if you have any more questions!
a. $$ f(6) = 51 $$ b. $$ f(x + 2) = 7x + 23 $$ c. $$ f(-x) = -7x + 9 $$

Evaluate the function \( f(x)=7 x+9 \) at the given values of the independent variable and simplify. \( \begin{array}{lll}\text { a. } f(6) & \text { b. } f(x+2) & \text { c. } f(-x)\end{array} \)

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