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Elenna [48]
3 years ago
6

If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)

Mathematics
2 answers:
postnew [5]3 years ago
7 0

Answer:

The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)

Step-by-step explanation:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

f(x)=2x

g(x)= 1/x

(f*g) (x) = f(x) * g(x)

(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of  (f*g) (x) is thus ( -∞, ∞)

Brums [2.3K]3 years ago
4 0

Answer:

All real numbers

Step-by-step explanation:

Given : f(x)=2x

           g(x)= \frac{1}{x}

To Find : the domain of (f*g) (x)

f(x)=2x

g(x)= \frac{1}{x}

(f\cdot g)(x)=2x \times \frac{1}{x}

(f\cdot g)(x)=2

Since the value of (f\cdot g)(x)=2

So, the domain of the function is (f\cdot g)(x) is all real numbers .

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Answer:

141

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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5 0
3 years ago
Find the Domain and Range of the following: (6.-1) (-2.2) (18,-1) (-2,3) Domain: Range: Is this relation a function?​
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Answer:

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Range: {-1,2,3}

This relation is not a function.

Step-by-step explanation:

The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.

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Sarah is purchasing pencils to share. Each package has 12 pencils. The equation n = 12p, where n is the total number of pencils
podryga [215]

Answer and Step-by-step explanation:

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total number of pencils Sarah purchased: n = 12p

n = total number of pencils

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n depends on p, because the total number of pencils dependos on how many packages she will buy, so:

independent variable: p

dependent variable: n

╔═══╦══════════╦════╗

║ p     ║ n = 12p            ║ n  ║

╠═══╬══════════╬════╣

║ 3     ║ n = 12*3           ║ 36     ║

╠═══╬══════════╬════╣

║ 4     ║ n = 12*4           ║ 48     ║

╠═══╬══════════╬════╣

║ 5     ║ n = 12*5           ║ 60     ║

╠═══╬══════════╬════╣

║ 6     ║ n = 12*6           ║ 72     ║

╠═══╬══════════╬════╣

║ 7     ║ n = 12*7           ║ 84     ║

╚═══╩══════════╩════╝

7 0
4 years ago
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