determining the input value that produces the same output value for two functions\nif ( f(x)=-3x + 4 ) and (…

determining the input value that produces the same output value for two functions\nif ( f(x)=-3x + 4 ) and ( g(x)=2 ), solve for the value of ( x ) for which ( f(x)=g(x) ) is true.\n( x=)

determining the input value that produces the same output value for two functions\nif ( f(x)=-3x + 4 ) and ( g(x)=2 ), solve for the value of ( x ) for which ( f(x)=g(x) ) is true.\n( x=)

Answer

Explanation:

Step1: Set the two functions equal

Set ( f(x)=g(x) ), so ( -3x + 4=2 ).

Step2: Solve for ( x )

Subtract 4 from both sides: ( -3x=2 - 4=-2 ). Divide both sides by -3: ( x=\frac{-2}{-3}=\frac{2}{3} ).

Answer:

( x = \frac{2}{3} )