I've got a set of questions i need help knowing how to work out and understand them. I've typed the full question if it helps.Well here goes:
1. Find the domain and range of
f(x) = sin(1/x+1) + exp(1/x+1)
Does this function have an inverse? (Give reasons for your answer)
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2. Find the general solution to
cos3θ = cos(5θ-∏/7)
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3. Find all solutions of
2cos2θ + 4sinθcosθ = 2^1/2
in the range -∏ ≤ θ ≤ ∏
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4. Solve the equation
log3(
x)=log9(|
x + 6|)
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5. Use the identity (1 +
x)^n x (1 +
x)^n = (1 -
x^2)^n
deduce that if 2
r ≤
n then
2r
∑ (-1)^r-a (n) ( n ) = (n) All one line
a=0 (a ) (2r - a) (r)
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Reps and great appreciation for help.
Thanks in advance