6x44 hbgvtfwtydtwftdftwyfdywdwd
2 answers:
You might be interested in
Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=
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
Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u><u><em></em></u>
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150