Question

What function should be graphed in order to solve the equation
9x - 6 = -8?

• f(x) = x - 6
• f(x) = 17x - 6
• f(x) = 9x+2
• f(x) = 9x -14

Answer 1

To solve the equation \( 9x - 6 = -8 \), we can rearrange it into the form of a function.

First, we add 6 to both sides of the equation:

\[
9x - 6 + 6 = -8 + 6
\]

This simplifies to:

\[
9x = -2
\]

Next, we can rearrange it further to isolate \( x \):

\[
x = \frac{-2}{9}
\]

Now we want to express this equation as a function. The original equation can be rewritten as:

\[
9x - 6 + 8 = 0
\]

Which simplifies to:

\[
9x + 2 = 0
\]

Now, from the options given, we look for a function that represents this equation. The correct function is:

\[
f(x) = 9x + 2
\]

Thus, the function that should be graphed in order to solve the equation \( 9x - 6 = -8 \) is:

**f(x) = 9x + 2**.