QuestionSuppose that $f(x)=6 x-1$ and $g(x)=-3 x+8$ (a) Solve $f(x)=0$. (b) Solve $f(x)>0$. (c) Solve $f(x)=g(x)$. (d) Solve $f(x) \leq g(x)$. (e) Graph $y=f(x)$ and $y=g(x)$ and find the point that represents the solution to the equation $f(x)=g(x)$. (a) For what value of $x$ does $f(x)=0$ ? $$x=\frac{1}{6}$$ (Type an integer or a simplified fraction.) (b) For which values of x is $\mathrm{f}(\mathrm{x})>0$ ? $$\left(\frac{1}{6}, \infty\right)$$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) (c) For what value of $x$ does $f(x)=g(x)$ ? $$x=1$$ (Type an integer or a simplified fraction.) (d) For which values of $x$ is $f(x) \leq g(x)$ ? $\square$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)