We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0

7 0

3 years ago

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The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

1 year ago

What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon​

What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon