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Natali [406]
3 years ago
8

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

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

The domain is all real numbers except the number zero

Step-by-step explanation:

we have

f(x)=2x

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

we know that

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

Remember that

The denominator cannot be equal to zero

so

The domain is all real numbers except the number zero

In Interval notation the domain is

(-∞,0) ∪ (0,∞)

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Answer:

what grade is this

Step-by-step explanation:

I'm very confused is this algebra?

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3 years ago
Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
Does the rule y = 2 · x + 4 represent a linear or an exponential function? Explain.
Natali5045456 [20]
<span>B.
Linear function; the independent variable x is not an exponent.

But for me, answer is:
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Linear function; <span>the function is in the form y = mx + b, where m = slope, b = y-intercept, and x is a real number.
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3 years ago
Help.........................<br><br>​
garri49 [273]
<h3>Answer: Choice A</h3>

x^2\left(\sqrt[4]{x^2}\right)

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

\sqrt[4]{x} = x^{1/4}

The same applies to x^10 as well

\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}

Multiply the exponents 10 and 1/4 to get 10/4

\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}

\sqrt[4]{x^{10}} = x^{10/4}

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

x^{m/n} = x^a\sqrt[n]{x^b}

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

So

x^{m/n} = x^a\sqrt[n]{x^b}

turns into

x^{10/4} = x^2\sqrt[4]{x^2}

which means

\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}

7 0
3 years ago
Jason has applied for two summer jobs, one as a lifeguard and the other as a camp counselor. The lifeguard job is three days a w
Anastasy [175]

Answer:

Lifegard

Step-by-step explanation:

3 0
3 years ago
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