A propped cantilever beam of flexural rigidity EI and 2EI for parts 1-2 and 2-3,

given that and .

(If these weren't your functions and you understand neither way, please let me know. Thank you kindly. Have a nice day.)

Step-by-step explanation:

.

So here we want to start with the inside first.

That is, start with .

Let then

We need to solve for .

f(c)=2

8c+6=2

Subtract 6 on both sides:

8c=2-6

8c=-4

Divide both sides by 8:

c=-4/8

c=-1/2

Since then .

So now we need to find .

Let then .

So we need to solve for .

Subtract 7 on both sides:

Multiply both sides by 3:

So we have .

Another way!

We could actually find the functions that are inverses of the given functions.

The basic idea is that we need to swap x and y:

Now we need to remake y the subject.

Subtract 6 on both sides:

Divide both sides by 8:

is the inverse of .

Again the basic idea to find inverse is to swap x and y:

Now solve for y.

Subtract 7 on both sides:

Multiply both sides by 3:

is the inverse of .

Now let's find: