g(x) is function notation. It's another way to say y = . When an equation is written in terms of x, that means that x is the variable in the equation, like 3x+5, for example. If an equation is in terms of t, then an example of an equation in terms of t is 3t + 5. If the function is g(t), then the whole equation is g(t)=3t+5. In order to get our equation in terms of x, we need to solve for y. Subtract 2 from both sides. -4x - 6 - 2 = -5y. Combine like terms to simplify the left side. -4x - 8 = -5y. Divide both sides by -5 to get the equation solved for y. [tex]y= \frac{4}{5}x+ \frac{8}{5} [/tex]. In function notation, it's [tex]g(x)= \frac{4}{5}x+ \frac{8}{5} [/tex].
