Please helpppppppp If you don’t know it don’t answer please

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

Answer:

x=36

y=72

Step-by-step explanation:

I didnt do this type of problem in a while but Im pretty sure its correct

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It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio

katrin2010 [14]

Answer:

$y=\frac{24}{x}$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where y is inversely proportional to x and k is constant of variation.

Upon substituting $y=12$ and $x=2$ in above equation, we will get:

$12=\frac{k}{2}$

Let us solve for constant of variation.

$12\cdot 2=\frac{k}{2}\cdot 2$

$24=k$

Now, we will substitute $k=12$ in inversely proportion equation as:

$y=\frac{24}{x}$

Therefore, the formula for the given scenario would be $y=\frac{24}{x}$ .

3 0

3 years ago

F(x)

mina [271]

a) Since both limits are distinct and do not exist, we conclude that x = - 1 is not part of the domain of the rational function.

b) The function $f(x) = \frac{x}{x^{2}+ x}$ is equivalent to the function $g(x) = \frac{1}{x + 1}$ .

<h3>How to determine whether a limit exists or not</h3>

According to theory of limits, a function f(x) exists for x = a if and only if $\lim_{x\to a^{-}} f(x) = \lim_{x \to a^{+}} f(x)$ . This criterion is commonly used to prove continuity of functions.

Rational functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following lateral limits:

$\lim_{x \to -1^{-}} \frac{x}{x^{2}+x} = - \infty$