Determine the domain of the function.

1 answer:

4 0

We are given with a verbal phrase of a function of x is equal to the square root of x plus one divided by x plus four times x minus six.

This is expressed as f(x) = √(x) + 1/x + 4x - 6
the domain are values which include only natural numbers because of the square root sign. answer is D. x ≥ 0

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in the urban ecosystem, the air is always is so much pollute, the waters too are always so much polluted hence not so much good for non human life. but in the undeveloped forest ecosystem, the air is so much fresh, the environment and the waters too hence find it better in the place.

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What is the volume of the prism below? 5 10 3

Dmitriy789 [7]

Answer:

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2 years ago

Find an equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

sattari [20]

Answer:

$(x+5)^{2}=-4(y+3)$

Step-by-step explanation:

Given:

Focus point = (-5, -4)

Vertex point = (-5, -3)

We need to find the equation for the parabola.

Solution:

Since the x-coordinates of the vertex and focus are the same,

so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.

The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.

Substitute y = -4 and k = -3.

$-4 = -3+p$