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Question

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

(1 point)
Responses

f(x)=9x+2
f of x is equal to 9 x plus 2

f(x)=x−6
f of x is equal to x minus 6

f(x)=9x−14
f of x is equal to 9 x minus 14

f(x)=17x−6

Answer 1

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

Let's manipulate the equation:

1. Start with the original 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, to represent this as a function, we can express the equation \(9x - 6\) as a function \(f(x)\) such that we want to find when \(f(x) = -8\).

So, we can re-arrange the expression \(9x - 6 + 8 = 0\) to get: \[ f(x) = 9x - 14 \]

Thus, to solve the original equation \(9x - 6 = -8\), we would graph the function \(f(x) = 9x - 14\) and find where this function equals 0 (where it crosses the x-axis).

Therefore, the correct response is:

f(x) = 9x − 14