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FrozenT [24]
3 years ago
10

the function f(x)= sqrt x is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)?

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

Step-by-step explanation:

Zinaida [17]3 years ago
3 0

Answer:

x ≥ -5

Step-by-step explanation:

If we have a translation to left c units, we write " x + c " in the function, and

If we have a translation to right c units, we write " x - c" in the function

If we have vertical translation up b units, we "add b to the function", and

If we have vertical translation down b units, we "subtract b to the function"

The parent function is  f(x)=\sqrt{x}

Since translation left 5 units and up 3 units, we can write:

f(x)=\sqrt{x+5} + 3

The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:

x + 5 ≥ 0

x ≥ -5

This is the domain.

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The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.
pychu [463]
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

\sqrt{80} \approx 8.9 \\
\sqrt{150} \approx 12.2

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.
5 0
3 years ago
W^2-8w-20 factor the polynomial.
Mademuasel [1]
Your answer would be (w+2)(w−10). If you want me to explain please don't hesitate to ask.
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50 percent of 620 written as a percent
SSSSS [86.1K]
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5 0
3 years ago
What Is the solution to the system of equations? Y=-3x-2<br> 5x+2y=15
snow_tiger [21]

Answer:

x,y=-19,55

Step-by-step explanation:

plug in y.

5x+2(-3x-2)=15

5x-6x-4=15

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x=-19.

Plug in.

y=-3(-19)-2

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Hope this helps :D

3 0
3 years ago
For (x)=3x+1 and g(x)=x^2 -6, find (f+g)(x)
julsineya [31]

Answer:

<h2>(f + g)(x) = x² + 3x - 5</h2>

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=3x+1;\ g(x)=x^2-6\\\\(f+g)(x)=(3x+1)+(x^2-6)=x^2+3x+1-6=x^2+3x-5

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