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Homework Statement
f:[1,+∞[→ℝ
x→sqrt(x+2)-sqrt(x-1)
Homework Equations
show that f([1,+∞[)=]0,sqrt(3)]
The Attempt at a Solution
Any tips on how to start it.
Last edited:
What have you done so far?Homework Statement
f:[1,+∞[→ℝ
x→sqrt(x+2)-sqrt(x-1)
Homework Equations
show that f([1,+∞[)=]0,sqrt(3))
The Attempt at a Solution
Any tips on how to start it.
well nothing really, i want something that'll help me get going.What have you done so far?
RGV
alright so these 3 steps should help me?things to try:
1. calculate f(x) explicitly for a few values of x. i always like 0,1,-1 and 42 (ok, 0,1 and-1 won't work. pick something else. maybe 2,4 and 6)
2. see if lim x→∞ and lim x→1+ exist.
3. see if f(x) has a global maximum or minimum (yeah, derivatives, we can use them, right?)