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likoan [24]
2 years ago
12

How do I find the domain and range of y= -(x-2)^2+3?​

Mathematics
2 answers:
andreyandreev [35.5K]2 years ago
6 0

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

Irina-Kira [14]2 years ago
3 0

Answer:

Answer:

D=(-\infty,3)\cup(3,\infty) [x|x\neq3]D=(−∞,3)∪(3,∞)[x∣x



=3]

R=(-\infty,-1)\cup(-1,\infty) [y|y\neq-1]R=(−∞,−1)∪(−1,∞)[y∣y



=−1]

Given : f(x)=\frac{x-2}{3-x}f(x)=

3−x

x−2

To find : The domain and range of the real function

Solution :

To find domain : Equate the denominator to zero

f(x)=\frac{x-2}{3-x}f(x)=

3−x

x−2

Denominator (3-x)=0

x=3

This means at x=3 function is not defined

And by definition of domain - The domain is where the function is not defined.

Domain is D=(-\infty,3)\cup(3,\infty) [x|x\neq3]D=(−∞,3)∪(3,∞)[x∣x



=3]

Range

Put f(x)=y

y=\frac{x-2}{3-x}y=

3−x

x−2

x=\frac{3y-2}{y+1}x=

y+1

3y−2

Range is the set of value that correspond to domain

Equate the denominator to zero

x=\frac{3y-2}{y+1}x=

y+1

3y−2

Denominator (y+1)=0

y=-1

This means at y=-1 function is not defined

Range is R=(-\infty,-1)\cup(-1,\infty) [y|y\neq-1]R=(−∞,−1)∪(−1,∞)[y∣y



=−1]

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nata0808 [166]

The largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

<h3>Scale drawing</h3>

Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension

<h3>Dimensions</h3>

The dimensions of the design for the farm scene painting is given as:

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The dimensions of the wall is given as:

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Also, we have:

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Width = 9 \times 21 = 189

Hence, the largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

Read more about scale drawings at:

brainly.com/question/810373

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