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Charra [1.4K]
3 years ago
8

If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

         = 2(x-3/x) + 1

         = 2x -6 /x +1

         = 2x-6 +x/x

         = 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

            = 3x-6/x + 3

            = 3x-6+3x/x

            = 6x-6/x  

So, Option B is correct.

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mr Goodwill [35]

Answer:

<h2>10</h2>

Step-by-step explanation:

<em>The answer is 10 because 7 + 3 equals 10!</em>

<em></em>

<em>This can be proven by adding 7 + 3 or by subtracting in a certain way.</em>

<em>7 + 3 = ?</em>

<em>7 + 1 = 8</em>

<em>7 + 2 = 9</em>

<em>7 + 3 = 10</em>

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<em>You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.</em>

<em></em>

<em>If you subtract 7 by 10, ( 10 - 7 ) then you get 3</em>

<em>If you subtract 3 by 10, ( 10 - 3 ) then you get 7</em>

<em>If the number you subtracted matches the number that you didn't subtract, then your answer is correct.</em>

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<em>Hope this helps! <3</em>

5 0
2 years ago
Read 2 more answers
bill bought a new cellular phone. his monthly bill will be $34.99 each month which includes 100 minutes of use. additional minut
Alenkinab [10]
$34.99 + $0.23m = c
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c = $0.23m + $34.99
3 0
3 years ago
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The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
The population of a small town is decreasing by 2% per year. The population in the year 2017 was 3,850. A. By how many people wi
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Answer:

A. 77

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Step-by-step explanation:

According to the problem, computation of given data are as follows,

Population in 2017 = 3,850

Decrease rate = 2% per year

(A) We can calculate number of population decrease from 2017 to 2018 by using following formula,

Number of population decrease = Population in 2017 × Decrease rate

= 3,850 × 2%

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(B). Total population in 2018 = 3,850 - 77

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7 0
2 years ago
Given the figure below, which of the following points name a line segment, a line, or a ray?
GuDViN [60]

Answer:

line

Step-by-step explanation:

A line segment is a part of a line.


4 0
3 years ago
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