FunctionMedium
Question
The range of the function f(x) = 7-xPx-3, is-
Options
A.{1, 2 , 3}
B.{ 1, 2, 3, 4, 5, 6}
C.{ 1, 2, 3, 4}
D.{1, 2, 3, 4, 5}
Solution
f (x) = 7-xPx-3
For domain
7 - x ≥ 0 , & x - 3 > 0 & 7 - x ≥ x - 3
x ≤7, & x ≥ 3 2x ≤ 10
x ≤ 5
x ∈ {3, 4, 5}
Range ∈ {f (3), f (4), f (5)}
Range ∈ {1, 3, 2}
For domain
7 - x ≥ 0 , & x - 3 > 0 & 7 - x ≥ x - 3
x ≤7, & x ≥ 3 2x ≤ 10
x ≤ 5
x ∈ {3, 4, 5}
Range ∈ {f (3), f (4), f (5)}
Range ∈ {1, 3, 2}
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