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:

the forst and 3rd

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116