Suppose that $f(x)=5 x-1$ and $g(x)=-4 x+8$
(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 $f(x)=0$ ?
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(Type an integer or a simplified fraction.)

Answer

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Answer

The value of $x$ that makes $f(x)=0$ is $\boxed{\frac{1}{5}}$

Steps

Step 1 ：Set the function $f(x)=5x-1$ equal to zero: $5x-1=0$

Step 2 ：Add 1 to both sides of the equation: $5x=1$

Step 3 ：Divide both sides of the equation by 5 to solve for x: $x=\frac{1}{5}$

Step 4 ：The value of $x$ that makes $f(x)=0$ is $\boxed{\frac{1}{5}}$