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>
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Answer: 
Step-by-step explanation:
x^2+y^2=r^2 --> subtract x^2 to other side
y^2=r^2-x^2 --> square root both sides
y=sqrt(r^2-x^2)
Answer:
6
Step-by-step explanation:
Let the 4 people be A, B, C and D. If each of them shakes hands with another person exactly one time then that means
A shakes with B, C and D. So 3 handshakes
B already shakes with A. So B shakes with C and D. 2 handshakes
C already shakes with A and B. So C shakes with D only. 1 handshake.
D already shake hand with all above.
Total handshakes: 3 + 2 + 1 = 6
4
Hope it’s right
Best luck with your studying
For the first one it is the fourth one 15/x