The range of the function f(x) = 4 – 7x , x ∈ R, x > 0 is
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Answer:
f(x)=
7−x
P
x−3
∴ f(x) is defined when x−3≥0
⇒x≥3 ....(1)
Again f(x)=
7−x
P
x−3
=
(10−2x)!
(7−x)!
∴ f(x) is defined when (10−2x)≥0
⇒2x≤10
⇒x≤5 ....(2)
From (1) and (2), we have
3≤x≤5
∴ Range {f(3),f(4),f(5)}
={
4
P
1
,
3
P
1
,
2
P
2
}
={1,3,2}
Step-by-step explanation:
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