Question

Evaluate the function f left parenthesis x right parenthesis equals 5 x plus 9 at the given values of the independent variable and simplify.
a.  f left parenthesis 9 right parenthesis      b.  f left parenthesis x plus 6 right parenthesis      c.  f left parenthesis negative x right parenthesis
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Part 1
a.  f left parenthesis 9 right parenthesisequals
  
enter your response here ​(Simplify your​ answer.)

Answer 1

To evaluate the function \( f(x) = 5x + 9 \) at the given values, we'll substitute the values into the function.

### Part a
To find \( f(9) \):

\[
f(9) = 5(9) + 9
\]
\[
f(9) = 45 + 9
\]
\[
f(9) = 54
\]

So, \( f(9) = 54 \).

---

### Part b
To find \( f(x + 6) \):

\[
f(x + 6) = 5(x + 6) + 9
\]
Distributing the 5:

\[
f(x + 6) = 5x + 30 + 9
\]
Combining like terms:

\[
f(x + 6) = 5x + 39
\]

---

### Part c
To find \( f(-x) \):

\[
f(-x) = 5(-x) + 9
\]
This simplifies to:

\[
f(-x) = -5x + 9
\]

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### Summary of Results
a. \( f(9) = 54 \)
b. \( f(x + 6) = 5x + 39 \)
c. \( f(-x) = -5x + 9 \)