Determine if Linear g(x)=-3x^4-6

The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be ${\displaystyle 0}$ or ${\displaystyle 1}$. In this case, The degree of ${\displaystyle g\left(x\right)=-3x^4-6}$ is ${\displaystyle 4}$, which makes the function a nonlinear function.