Question

If f(x) = -3x + 4 and g(x) = 2, soive for the value of x for which f(x) = g(x) is true.

Answer 1

Using the definition, we have

$f(x)=g(x) \iff -3x+4=2$

Subtract 4 from both sides:

$-3x=-2$

Divide both sides by -3:

$x=\dfrac{-2}{-3}=\dfrac{2}{3}$