Which of the following is equal to g(x)?
1 answer:
Answer: Option D
Step-by-step explanation:
If we have a function f(x), then the graph of can be shifted upwards k units using the transformation
.
Where k is a positive number.
In this problem the function f(x) is:
This function has its intercept with the y-axis in y = 1
Then, the graph of g(x) is equal to the graph of f(x) shifted 1 unit up and cuts to the y axis in y = 2.
Therefore g(x) is equal to the function f(x) after the transformation
So:
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Answer:
Step-by-step explanation:
The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:
Area = (Base)(Height) = (18 units)(5 units) = 90 units²
For
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.