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Natasha2012 [34]
1 year ago
11

Find the domain of the following functions and simplify their expressions.

Mathematics
1 answer:
erica [24]1 year ago
7 0

The domain of the function is  (-∞,∞) and the simplified expression is x²-6x-40 .

A function's domain and range are its constituent parts. A function's  range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The given functions are

f(x)=6x+24

g(x)=x²-16

Now we have to find (g-f)(x) .

(g-f)(x)=x²-16-6x-24

or,(g-f)(x)=x²-6x-40

or,(g-f)(x)=x²-10x+4x-40

or,(g-f)(x)=x(x-10)+4(x-10)

or,(g-f)(x)=(x-10)(x+4)

So the domain of the function (g-f)(x) are the values for which the function exists. we can see that the function exists for all values of x.

Domain in set builder notation={x|x∈R}

Domain in interval notation=(-∞,∞)

To learn more about domain and range:

brainly.com/question/28135761

#SPJ9

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Step-by-step explanation:

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The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs.
statuscvo [17]
The answer
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for the first equation: <span>x = 3 cos t and y = 8 sin t
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PLEASE SOLVE THeSE QUESTIONS
g100num [7]

Heya!

Question #15:

To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)

Question #16:

Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)

Question #17:

To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.

6 1/2 = 6 2/4 and 3 1/4

Now, add all the sides together.

6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)

Question #18:

We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.

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Now, add both perimeters together.

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