ANSWER

EXPLANATION
The given function is

When we plug in x=3 into this function, we obtain,

This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,

This implies that,

The graph this function is a straight line that is continuous everywhere.
To graph

we draw the graph of

and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
Answer:
<u>x-intercept</u>
The point at which the curve <u>crosses the x-axis</u>, so when y = 0.
From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)
<u>y-intercept</u>
The point at which the curve <u>crosses the y-axis</u>, so when x = 0.
From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)
<u>Asymptote</u>
A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.
From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5
(Please note: we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).
Answer:
1/4
Step-by-step explanation:
1/6 + 1/12
Multiply the numerator and denominator of the first fraction by 2.
2/12 + 1/12
Add both fractions, because they have a common denominator.
3/12
The fraction can be further simplified.
1/4
Answer:
60
Step-by-step explanation:
2x+5+x-5=180
add the common things
3x=180
divide stuff
x=60