Question

find domain and range of f(x)=1-(x-2)

Answer 1

Step-by-step explanation:

Given: f(x) = 1-|x-2| To find: the range of function Explanation: So, the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range Given, f(x) = 1-|x-2| Now for real value of f, |x-2|≥ 0 Adding negative sign, we get Or -|x-2|≤ 0 Adding 1 we get ⇒ 1-|x-2|≤ 1 Or f(x)≤1 ⇒ f(x)∈ (-∞, 1]Read more on Sarthaks.com - https://www.sarthaks.com/890143/find-the-range-of-the-function-f-x-1-x-2?show=890146