Question

If {3,4,5} is the domain of function f:x --> 2x-1, find the range. ​

Answer 1

Range = {5, 7, 9}

Explanation:

Range is the set of values that are the results of respective values of x when placed in the function f(x).

`\mathfrak{\blue {\underline{\implies If\: x = 3 }}}`

f(3) = 2 × 3 - 1

f(3) = 6 - 1

f(3) = 5

`\mathfrak{\blue{\underline{\implies If \:x = 4 }}}`

f(4) = 2 × 4- 1

f(4) = 8 - 1

f(4) = 7

`\mathfrak{\blue{\underline{\implies If\: x = 5 }}}`

f(5) = 2× 5 - 1

f(5) = 10 - 1

f(5) = 9

Therefore, the range is the set of all these values :-

Range = {5, 7, 9}