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3 years ago

What is the domain of f(x)=3^x

Mathematics

1 answer:

julsineya [31]3 years ago

8 0

Answer:

The domain of the function is $D=(-\infty,\infty,x|x\in \mathbb R)$

Step-by-step explanation:

Given : Function $f(x)=3^x$

To find : What is the domain of the function given?

Solution :

Domain is defined as the set of values in which function is defined.

Since, The given function is an exponential function.

In this case there is no real numbers that makes the expression undefined.

i.e. Domain of the given function is from -infinity to +infinity

or $D=(-\infty,\infty,x|x\in \mathbb R)$

Therefore, The domain of the function is $D=(-\infty,\infty,x|x\in \mathbb R)$

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Multiplication in GF(24 ): Compute A(x)B(x) mod P(x) in GF(24 ) using the irreducible polynomial P(x) = x 4 + x + 1, where A(x)

tankabanditka [31]

Answer:

Step-by-step explanation:

hello,

i advice you check the question again if it is GF( $2^{4}$ ) or GF(24). i believe the question should rather be in this form;

multiplication in GF( $2^{4}$ ): Compute A(x)B(x) mod P(x) = $x^{4}$ + $x$ +1, where A(x)= $x^{2}$ +1, and B(x)= $x^{3} + x+1$ .

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)= $(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1 ) = (x^{5} +x^{3}+x^{2} ) + (x^{3}+x+1 ) mod (x^{4} + x+1 )$

= $x^{5}+2x^{3} +x^{2} + x + 1 mod(x^{4}+x+1 )$

= $2x^{2} +1$

please note that the division by the modulus above we used

$\frac{x^{5}+2x^{3}+x^{2} +1 }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}$

5 0

3 years ago

the perimeter of a rectangle is 62 feet.if the width of the rectangle is 19ft. what is the length of the rectangle

denis23 [38]

Perimeter = 2(l+w) or 2(length+width)

So far you have the width, which is 19feet. Since you have two sides of the rectangle which are 19 feet, add 19+19=38

Subtract 62-38 to get 24.

You now have the length of both of the sides combined. So you need to divide 24/2 = 12
The length of the rectangle = 12ft.

6 0

3 years ago

Read 2 more answers

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface

Ksenya-84 [330]

We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²

7 0

3 years ago

A box of jerseys for a pick-up game of basketball contains 9 extra-large jerseys, 6 large jerseys, and 5 medium jerseys. If you

aleksley [76]

Answer:

1/114 or 0.008772

Step-by-step explanation:

I am not very sure, my answer seems unlikely, but here's what I think:

There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.

Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.

After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 4/19.

After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 3/18.

To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.

If you round that to the nearest millionth, it's 0.008772

Don't judge me, it might not be correct.

4 0

3 years ago

A farmer planned to plant 120 seeds in all. After planting 10 more seeds each day than was planned, she was able to finish 2 day

zheka24 [161]

Let s=number of seeds and t=number of days...

st=120 and (s+10)(t-2)=120

From the first we can say t=120/s, now using this value of t in the second equation gives us:

(s+10)(120/s-2)=120

(s+10)(120-2s)/s=120

(s+10)(120-2s)=120s

120s-2s^2+1200-20s=120s

2s^2+20s-1200=0

s^2+10s-600=0

(s+30)(s-20)=0, since s>0

s=20, and since she planted s+10 seeds per day to finish two days earlier:

20+10=30

She planted 30 seeds per day.

3 0

3 years ago