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

Question

(1 point)
Responses

f(x)=x−6
f of x is equal to x minus 6

f(x)=17x−6
f of x is equal to 17 x minus 6

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

f(x)=9x+2

Answer 1

To solve the equation \( 9x - 6 = -8 \), we can first isolate \( x \).

1. Add 6 to both sides of the equation: \[ 9x - 6 + 6 = -8 + 6 \] This simplifies to: \[ 9x = -2 \]

2. Next, divide both sides by 9: \[ x = \frac{-2}{9} \]

To express this equation as a function, we can rewrite it in the form \( f(x) = 9x - 6 \) and express the conditions at which it equals -8.

Thus, we want the function that reflects \( 9x - 6 = y \) where \( y \) can be set to -8. In this context, the correct function to graph to solve the equation would be:

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

Therefore, the chosen option is:

f(x) = 9x - 6 (this option seems to be misrepresented in your list but it is the correct one).

Answer 2

pick one

Answer 3

Based on the options provided, you should graph:

f(x) = 9x - 14

This function can be rearranged to help find the solution to the equation \( 9x - 6 = -8 \) since you can set \( f(x) = -8 \) and solve for \( x \).