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spayn [35]
3 years ago
10

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)

Mathematics
2 answers:
laila [671]3 years ago
7 0
I think this attachment will help you

denis-greek [22]3 years ago
5 0

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

          = (2x - 3)²

          = 4x² + 9 - 12x - 1

         = 4x² - 12x + 8

        = 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

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Marta_Voda [28]

Length = 2x - 5

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P = 2L + 2W

146 = 2(2x - 5) + 2x

146 = 4x - 10 + 2x

146 = 6x - 10

146 + 10 = 6x

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156/6 = x

26 = x

Length = 2(26) - 5

Length = 52 - 5

Length = 47 cm

Width = x

Width = 26 cm

Did you follow?

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3 years ago
Solid of Revolution Consider the following integral, which calculates the volume of a cylinder by considering it as a solid of r
svetoff [14.1K]

Answer:

Step-by-step explanation:

In this case the solution of the integral is

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\int {\rho} \, d\rho = \frac{\rho^{2}}{2}

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I hope this is usefull for you

regards.

4 0
4 years ago
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umka2103 [35]

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I think its C

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