Question

5=) Find ALL intercepts of the graph of the function f(x)x) = 5 + 1+1хA) noneB) (0, 1)C) x=0D) (-5,0)

Answer 1

Given:

$f(x)=\frac{5}{x}+1$

Find-: All intercepts:

Sol:

For "x" intercept value of "y" is zero so:

$f(x)=0$

So x-intercept is:

$\begin{gathered} f(0)=0 \\ \\ \frac{5}{x}+1=0 \\ \\ \frac{5}{x}=-1 \\ \\ x=-5 \end{gathered}$

So x-intercept is:

$x-\text{ intercept =}(-5,0)$

For y -intercept value of x is zero at x = 0 function is infinity so function not intercept at y-axis

So Intercept of function is:

$=(-5,0)$