Given that f(x) = x + 3/2

a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(12)

a) f(2)= 2 + 3/2

= 5/2

b) f^-1(x)= 2x-3

c) f^-1(12)= 21

Step-by-step explanation:

f(x) = x + 3/ 2

For a

f(2) = 2 + 3 / 2

= ( 4 + 3 ) /2

= 7/2

For b

f(x) = x + 3/2

f^-1(x) = ?

Let y = f(x)

y = x + 3/2

Interchanging the roles of x and y we get,

x = y + 3 / 2

y = x - 3 / 2

Therefore f^-1(x) = x - 3 / 2

For c)

f ^ -1(12) = 12 - 3 / 2

= (24 - 3) / 2

= 21 / 2

Hope it will help :)

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.