1. Write the function that should be graphed in order to solve the equation 9x−6=−8

.(2 points)
f(x)=

x+

1 answer

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

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

  2. Rearrange the equation to isolate \(9x\): \[ 9x = -8 + 6 \] \[ 9x = -2 \]

  3. Now divide both sides by 9 to solve for \(x\): \[ x = -\frac{2}{9} \]

To express this as a function that can be graphed, we can set \(f(x) = 9x - 6 + 8\) which simplifies to: \[ f(x) = 9x + 2 \]

Therefore, the function to be graphed in order to solve the equation \(9x - 6 = -8\) is: \[ f(x) = 9x + 2 \]