Question

Finding Intercepts:3. y = (x - 3) /(x - 4)

Answer 1

To know the y-intercept, we make x = 0 as follows:

$\begin{gathered} f(x)=y=\frac{x-3}{x-4} \\ f(0)=y=\frac{0-3}{0-4} \\ y=\frac{3}{4}=0.75 \end{gathered}$

y-intercept: (0, 0.75)

To know the x-intercept, we make y = 0 as follows:

$\begin{gathered} 0=\frac{x-3}{x-4} \\ 0\cdot(x-4)=x-3 \\ 0=x-3 \\ x=3 \end{gathered}$

x-intercept: (3, 0)

We can also use the graph to determine them:

Answer:

• x-intercept: (3, 0)

,

• y-intercept: (0, 0.75)