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Gemiola [76]
3 years ago
13

F(x)=2x+1 and g(x)=x^2-7, find (f g) (x)

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

The answer is (f o g)(x) = 2x^2 - 13

In order to find a composite function, you take the first letter (in this case f) and use that equation. You then remove the variable and put in the second letter (g).

f(x) = 2x + 1 ----> Remove variable.

f(x) = 2(      ) + 1 ----> Insert g(x)

(f o g)(x) = 2(x^2 - 7) + 1 ----> Distribute

(f o g)(x) = 2x^2 - 14 + 1 ----> Simplify

(f o g)(x) = 2x^2 - 13

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The product of two rational numbers is always rational because (ac/bd​) is the ratio of two integers, making it a rational number.

We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.

Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".

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P = (a×c)/(b×d)

The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.

learn more about of rational numbers here

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8 0
1 year ago
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netineya [11]
A, C, and D are all correct answers, since you are taking away 4 in each of the answers. Hope this helped!
6 0
3 years ago
A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
krek1111 [17]
For this case we have a square whose sides are known and equal to 60 ft.
 We want to find the diagonal of the square.
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d = 60\sqrt{2}

 Answer:
 
from home to second ​base it is about:
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3 years ago
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navik [9.2K]

Answer:

C is correct.

Step-by-step explanation:

Khan Academy said so.

3 0
3 years ago
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sasho [114]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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