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3 years ago

Helppppppppppppppppppppp

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

The domain of a(x) is all of R. The domain of b is the range where $x-4 \geq 0, hence \ x \geq 4$ . We can calculate the composition boa by changing in the expression for b, every x with a(x). Hence, boa(x)= $\sqrt{(3x+1)-4}$ = $\sqrt{3x-3}$ . Again for a function with a root to be defined, we need that the expression under the square root has to be positive. Hence, 3x-3 $\geq$ 0.Thus, the set where this holds is $3x \geq 3, x \geq 1$ . This is also the domain of the function boa(x).

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Determine whether set B is a subset of A.<br> 7. A = {2, 3, 5, 7, 11}<br> B = {3, 5, 7, 9, 11)

VARVARA [1.3K]

Answer:

Set B is not a subset of A.

Step-by-step explanation:

If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.

Example.

Example

A is set of integers

B is set of natural numbers

we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like

A = {......-3,-2,-1,0,1,2,3,4........}

B is set of positive discrete numbers from 1 to infinity)

B = {1,2,3,4........}

Thus, we see every element of B is present in A . Hence B is subset of A

___________________________________________

Given

A = {2, 3, 5, 7, 11}

B = {3, 5, 7, 9, 11)

Here,

In set B . elements 3,5,7,11 are present in set A, but

Element 9 from set B is missing Set A.

Since, every element of Set B is not present in set A hence

Set B is not a subset of A.

7 0

3 years ago

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

sweet [91]

Answer:

2 $\frac{1}{20}$

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 $\frac{1}{4}$ = 7x4 + 1 = 29

Thus, improper fraction would be $\frac{29}{4}$

do same thing for other one

thus , $\frac{26}{5}$

now,

$\frac{29}{4}$ - $\frac{26}{5}$

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

$\frac{145}{20} -\frac{104}{20}$ = $\frac{41}{20}$