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

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)=17x−6
f left parenthesis x right parenthesis equals 17 x minus 6

f(x)=x−6

GPT-4o mini · Answer

To solve the equation $ 9x - 6 = -8 $, we can rearrange it into the form of a function. First, add 6 to both sides of the equation: $$ 9x = -8 + 6 $$ $$ 9x = -2 $$ Next, divide both sides by 9: $$ x = -\frac{2}{9} $$ To express the original equation as a function, we can set $ f(x) = 9x - 6 $ and find where this equals -8: $$ f(x) = 9x - 6 $$ This tells us that to solve the equation $ 9x - 6 = -8 $, we need to graph $ f(x) = 9x - 14 $ (since $ 9x - 6 + 8 = 0 $ leads to $ 9x - 14 = 0 $). Based on the options given, the correct function to graph is: **f(x) = 9x - 14**.