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 $f(x)=0$ ? $x=\square$ (Type an integer or a simplified fraction.)

Studdy Solution
Graph $y = f(x)$ and $y = g(x)$ and find the intersection point.
- Plot the line $y = 6x - 1$ . - Plot the line $y = -3x + 8$ . - The intersection point of these lines is the solution to $f(x) = g(x)$ .
The intersection occurs at $x = 1$ .
Solution to (a): For what value of $x$ does $f(x) = 0$ ?
$x = \frac{1}{6}$

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