Alondra challenges you to play a math game. she says, "i am thinking of a whole number. if you double my number and subtract 6, the result is less than 2 units away from 0. what number am i thinking of? "

  3

Step-by-step explanation:

Let "a" represent Alondra's number. Then the math she performs on it is ...

  2a-6 . . . .double my number and subtract 6

  | 2a-6 | < 2 . . . . . the result is less than 2 units from zero

This absolute value expression can be "unfolded" to two of them ...

  -2 < 2a -6 < 2

Dividing by 2 gives ...

  -1 < a -3 < 1

Adding 3, we get ...

  2 < a < 4

The only whole number in this range is ...

  a = 3

Alondra is thinking of the number 3.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1