Question

What function should be graphed in order to solve the equation 9x−6=−8
9
𝑥
−
6
=
−
8
?(1 point)
Responses

f(x)=9x+2
𝑓
(
𝑥
)
=
9
𝑥
+
2
f left parenthesis x right parenthesis equals 9 x plus 2

f(x)=17x−6
𝑓
(
𝑥
)
=
17
𝑥
−
6
f left parenthesis x right parenthesis equals 17 x minus 6

f(x)=x−6
𝑓
(
𝑥
)
=
𝑥
−
6
f left parenthesis x right parenthesis equals x minus 6

f(x)=9x−14

Answer 1

To solve the equation \( 9x - 6 = -8 \), we can first rewrite it to isolate the variable \( x \). Let's do that step by step.

1. Start with the equation:
\[
9x - 6 = -8
\]

2. Add 6 to both sides:
\[
9x = -8 + 6
\]
\[
9x = -2
\]

3. Divide both sides by 9:
\[
x = -\frac{2}{9}
\]

Now, if we want to express this equation in a function form to graph it, we can rearrange the original equation into the form \( f(x) = 9x - 6 \) and set it equal to -8. This gives us:

\[
f(x) = 9x - 6
\]

To find when this function equals -8, we can express the function in relation to -8:

\[
f(x) + 8 = 0
\]

However, since we are looking for a direct function to graph from the options given, the best choice reflecting the left-hand side of our original equation \( 9x - 6 \) is:

**\( f(x) = 9x - 6 \)**

None of the exact options seem to match directly, but \( f(x) = 9x - 14 \) could be reinterpreted or checked further. However, the acceptable solution as per the original function is:

### Conclusion:
The function that should be graphed to solve the equation \( 9x - 6 = -8 \) is closer reflecting the behavior \( 9x - 6 \), suggesting the intent of checking where this is equal to -8. If provided directly as options incorrectly, please ensure the closest \( f(x) = 9x-6 \) is chosen for graphing, and further check options such as \( -8 \) intel there too.