Question

what is the
domain of 1-|x-3| ​

Answer 1

Let $y =1 - |x-3|$.

$|x-3| \geq 0$   (as mod of number is always greater or equal to zero.)

multiplying -1 to both lhs and rhs, so sign reverses in the inequality

$- |x-3| \leq 0$

$1- |x-3| \leq 1$

$y\leq 1$

Therefore, range = y = (-∞ , 1]

oh I realised you asked domain, here domain can be R as there isnt any condition on x as to say!

pls mark this brainliest as it took so much time to write with math input!