If f(x) = 2x and g(x)=1/x, what is the domain of (f o g)(x)?x_>0
all real numbers except x = 0
x<_0
all real numbers

Answers

Answer 1

Answer: (X)=2X-ALL real numbers except x=0x<_0

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Convert 0.000 000 000 264 m into scientific notation.

Answers

Answer: 2.64 x 10^(-10) meters

Explanation

Place the decimal point between the first two nonzero digits. We'll place it between the 2 and the 6.

We now have 2.64

The question is: How can we get back to 0.000 000 000 264 again?

We'll need to move the decimal point 10 spaces to the left to get back to the original value.

Therefore, 0.000 000 000 264 = 2.64 x 10^(-10)

The exponent -10 represents "move the decimal point 10 spaces to the left".

Extra info: There are 9 zeros between the decimal point and the "2" in the number 0.000 000 000 264. Take note of the spacing in the value to group up each set of 3 digits.

Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How much did her score change during each round?

Answers

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

Based on the graph below, what is the solution to the equation f(x) = g(x)?graph of function f of x equals negative x plus 2.5 and graph of function g of x equals x squared plus 2 multiplied by x minus 8

Answers

The wording of the second function may be interpreted in several differente ways. These are some:

g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8

I will work with the last one, so my system of equation is:

f(x) = - x +2.5
g(x) = x^2 + 2x - 8

f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8

x^2 + 3x - 8 - x - 2.5 = 0

x^2 + 3x - 10.5 = 0

Use the quadratic formula to solve for x:

x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2

x = - 5.07 and x = 2.07

The solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = -x + 2.5

g(x) = x² +2(x - 8)

f(x) = g(x)

-x + 2.5 = x² +2(x - 8)

After simplification:

x² + 3x - 18.5 = 0

After solving, we get:

x = 3.055 or x = -6.055

Thus, the solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Write the standard equation of the circle with the given center that passes through the given point. Center (-2,6); point (-2,10)

Answers

The general form of the equation of a circle is given by:
(x-a)²+(y-b)²=r²
where:
(a,b) is the center
r is the radius
Given that the circle with center (-2,6) and cuts point (-2,10), the equation of the circle will be found as follows:
the radius of the circle will be:
r=√[(x-a)²+(y-b)²]
r=√[(-2-(-2))²+(10-6)²]
r=√[(-2+2)²+4²]
r=√[0+4²]
r=4 units
hence plugging the values to obtain the equation we get:
(x-(-2))²+(y-6)²=4²
simplifying we get:
(x+2)²+(y-6)²=4²

After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is _____.$x
$x + 2
$x - 2
$2x

Answers

The expression that would be best fit on the given statement would be 2x. This is because the question says that when John reached 10 years his salary will be doubled. Meaning the x salary will be times to 2, or simply 2x.

I think its $2x because if a variable is beside a number, it means you multiply.

Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen’s mom makes a deal with Stephen. She will keep the refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day. Each day, Stephen will randomly pick a snack. What is the probability Stephen will not get three yogurts on three consecutive days? Use a tree diagram or area model to show all the possible outcomes in the sample space.