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Marizza181 [45]
3 years ago
8

What is the domain and range of the function: f(x)= the square root of x

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

Domain: x=(0,∞)

Range: f(x)=(-∞,∞)

Step-by-step explanation:

For the domain:

The square root of a number is defined in real numbers only for positive numbers.

For the range:

The square root of a number could be positive or negative with any restriction. For example, \sqrt{25} could be 5 or -5.

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The function is defined by f(x)= x^2+3x-10
yaroslaw [1]
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side 
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula 
the second one is the smallest
8 0
3 years ago
Darrell has the following data:
aleksley [76]

Answer:

I'm fairly certain that c=10. Don't quote me on that.

Step-by-step explanation:

7 0
2 years ago
What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2 - x
liq [111]
X ( x + 1 ) (2x^2 - 1)
6 0
2 years ago
The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).
Lady_Fox [76]

Answer:

<em>P=760</em>

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0
2 years ago
If f(x) = x2 – 1, and<br> g(x) = x + 2, then<br> g(f(x)) = [ ? ]x2 +[ ]x +[
aev [14]
Gf(x)
=g[f(x)]
=g[x2-1]
=x2-1+2

3 0
2 years ago
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