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

1 answer

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.