Answer:
Hello,
In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.
So Horizontal asymptote = 2
For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is
y= 0
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For vertical asymptotes, find the values which make the function indetermine in this case x=-7,so this is the only vertical asymptote.
For horizontal asymptotes, find the limit when x tends to infinity:
=(5x/x-15/x)/(2x/x+14/x) = 5/2, this is the horizontal asymptote y=5/2
For obliques, you have to meet the degree of the numerator is exactly a greater degree than the denominator, in this case they are the same degree so no oblique asymptote.
Answer:
The inverse of the function h(x) is
.
Step-by-step explanation:
The given function is

Replace h(x) by y.

Interchange x and y.

Subtract 4 from both sides to isolate variable y,

Multiply both sides by 2.

Divide both sides by 5.

Replace y by h⁻¹(x).

Therefore the inverse of the function h(x) is
.