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Setler79 [48]
3 years ago
12

If f(x)=3x and g(x)=1/x, what is the domain of (g o f)(x)?

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

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How to simplify : <br><br> √(1+√(1-x^2 )) - √(1-√(1-x^2 ))
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4 0
3 years ago
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of e
dmitriy555 [2]

The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5  ...(1)

0.2x + 0.5y = 105  ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
What is the correct factorization of 5!?
Oksi-84 [34.3K]

Answer:

B) 5 x 4 x 3 x 2 x 1

Step-by-step explanation:

When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:

5! = 5 * 4 * 3 * 2 * 1

For example, take factoral 10: 10!

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

In this case, you are multiplying 5!.

5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120

5! = 120

4 0
3 years ago
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