Question

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

f(x)=9x−14
f left parenthesis x right parenthesis equals 9x minus 14

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

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

f(x)=17x−6

Answer 1

To solve the equation \( 9x - 6 = -8 \), we can first rearrange it into the form \( f(x) = 0 \).

Starting from the original equation:

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

2. Now, set \( 9x + 2 = 0 \):
\[
f(x) = 9x + 2
\]

Thus, the function you should graph is:

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

So the correct response is:

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