Which function has an asymptote at x= 39
2 answers:
Answer:
option B :
Step-by-step explanation:
(a)
For exponential function , there is no vertical asymptotes
General form of exponential function is
In the given f(x) the value of k =0
So horizontal asymptote is y=0
(b) lets check with option
To find vertical asymptote we set the argument of log =0 and solve for x
Argument of log is x-39
x-39=0 so x=39
Hence vertical asymptote at x=39
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Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:
Or:
We are given
Let's test if they are inverse functions:
Simplifying:
Now find:
Operating:
Thus, f and g are inverse functions
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.