35,520 divided by 96

Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The t

enot [183]

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)= $\frac{2}{5}x-60$

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

$x=\frac{y-150}{2.5}$

$x=\frac{y}{2.5}-\frac{150}{2.5}$

$x=0.4y-60=\frac{2}{5}y-60$

Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)= $\frac{2}{5}x-60$

7 0

3 years ago

Which statements are true based on the diagram? Check all that apply.

GrogVix [38]

First statement: False. Points K, M and N form a triangle.
Second statement: True. Points J, K, and Q are on the same line.
Third statement: False. KN and MQ intersect at N, not at R.
Fourth statement: False. JQ and KM intersect at K, but MQ does not pass through it.
Fifth statement: True. By definition, there is always only 1 line that can be drawn between 2 given points.

6 0

2 years ago

Read 2 more answers

Please do this for me I am very lazy

Alexandra [31]

First, let's turn all the numbers into improper fractions so that we can find the answer easier.

-2 $\frac{1}{4}$ = r - $\frac{4}{5}$