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

?(1 point)
Responses

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

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

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

f(x)=17x−6

1 answer

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

First, isolate \(9x\) by adding \(6\) to both sides:

\[ 9x = -8 + 6 \]

This simplifies to:

\[ 9x = -2 \]

Now, to express this as a function of \(x\), we can subtract \(x\) on both sides:

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

So the function we should graph to solve the equation \(9x - 6 = -8\) is:

f(x) = 9x + 2