Sasha thought of a number. She added 22.5 to the number then multiplied the result by 2. a) Write this function as a mapping. b) Use inverse functions to work out the number Sasha thought of. Show your working.

Follows are the solution to these questions:

Step-by-step explanation:

For point a:

Let the number is = x then,

equation / mapping function:

For point b:

Calculating the inverse function:

now we change the value of x and y so, it will gives the inverse function in standard parameters:

x = 12

y = 15

step-by-step explanation:

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.