All categories

3 years ago

What is the inverse of the function below? fx) =X-6

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Inverse of F(x) is f(x) = x+6

Explanation:

Given :

F(x) = x-6

In mathematics, an inverse function (or anti-function) is a function that reverses another function: f y i.e., f(x) = y if and only if g(y) = x.

So, according to question

F(x)= x-6

Now we will solve the right hand side of the equation

x=F(x)+6

So inverse of F(x) is f(x) = x+6

You might be interested in

Given the function f(x) = 0.65x + 117, what<br> s the x-value of the zero?

swat32

Answer:

x = -180

Step-by-step explanation:

0 = 0.65x + 117

-117 = 65x/100

cross-multiply to solve for 'x':

65x = -11700

x = -11700/65

x = -180

8 0

3 years ago

A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x, where q is the q

Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

$\frac{x D'(x)}{D'(x)}$

$= \frac{x (-17)}{943 - 17x}$

$= \frac{17x}{943 - 17x}$

Elasticity expression = $E(x) = \frac{17x}{943 - 17x}$

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

$E(x) = \frac{17x}{943 - 17x}$

$1 = \frac{17x}{943 - 17x}$

Cross multiply:

$943 - 17x = 17x$

Collect like terms

$17x + 17x = 943$

$34x = 943$

$x = \frac{943}{34}$

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

$\frac{17x}{943 - 17x} > 1$

Cross multiply:

$17x > 943 - 17x$

Collect like terms

$17x + 17x > 943$

$34x > 943$

$x > \frac{943}{34}$

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

$\frac{17x}{943 - 17x} < 1$

Cross multiply:

$17x < 943 - 17x$

Collect like terms

$17x + 17x < 943$

$34x < 943$

$x < \frac{943}{34}$

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

$x = \frac{943}{17}$

$x = 27.74$

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0

3 years ago

What is the approximate area of the pizza

Dovator [93]

If you have several different sized pizzas, you can compare their areas. So the area of a pizza is the length of the crust (circumference) divided by two times the distance from the edge to the middle (radius). Mathematicians use a special number called pi to calculate the circumference of a circle.

5 0

3 years ago

One way to determine the surface area a this cylinder is to-

malfutka [58]

Answer:

a. add the areas of both bases to the rectangular area around the cylinder

Step-by-step explanation:

None of the other choices has anything to do with the surface area of a cylinder.

_____

Use your sense of what the question is asking about.

5 0

3 years ago

Read 2 more answers

Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. Using Monet's measurement, calculate th

Anon25 [30]

Answer:

5.495 inches.

Step-by-step explanation:

We have been given that Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. We are asked to find the circumference of an Oreo.

We know that circumference of circle is equal to $2\pi r$ , where r represents radius of circle.