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Dmitry [639]
2 years ago
11

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

<u><em>Step(ii):-</em></u>

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

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Answer:

(3,7), (3,8), (3,9), (3,10) is not a function.

Step-by-step explanation:

A function is defined as a relation in which each input value has only a single output value.

This means that for each x value there should be only one y  

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For the given set of points, we notice that for x=3, y=7,8,9,10 which shows there are many y-values o for a single x-value. This means there are many outputs for a single input. This disqualifies it to be a function.

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3 years ago
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If a club charges an initial fee of $99 to join, and a monthly fee of $45. Write an equation that represents the cost of being a
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Mr.jones is planning to plant grass and place a fence in a small area for his dog the rectangular dimensions are 12 x15 feet the
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7. The bottom of a circular swimming pool
mote1985 [20]
<h2>Hello!</h2>

The answer is:

1017.88 square feet are blue.

<h2>Why?</h2>

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

Area_{circle}=\pi radius^{2}

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

diameter=2radius\\\\radius=\frac{diameter}{2}

So,

radius=\frac{36feet}{2}=18feet

Then, calculating the area we have:

Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}

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Have a nice day!

4 0
3 years ago
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