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lina2011 [118]
3 years ago
9

Describe the domain of a logarithmic function.

Mathematics
2 answers:
olga55 [171]3 years ago
5 0
We can use the calculator to evaluate whether the domain given is possible or valid. In this case, A includes number equal to zero. log zero is invalid. B includes negative numbers. The values are still invalid. The numbers greater than zero are valid. Answer then is C
Brut [27]3 years ago
3 0

the correct answer is

C) all numbers greater than zero

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Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

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Vertex: V=(h,k)→V=(3,3)

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Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

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