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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.

Sagot :

Answer:

Follows are the solution to these questions:

Step-by-step explanation:

For point a:

Let the number is = x then,

equation / mapping function:

[tex]\to (x+22.5) \times 2=y\\\\[/tex]

For point b:

Calculating the inverse function:

[tex]\to x = \frac{y}{2} -22.5\\\\[/tex]

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

[tex]\to y = \frac{x}{2} -22.5\\\\[/tex]