Question

(Note - denoting infinity as Φ )
the function f(x) = logx - 2x/2+x is increasing interval :
a. (-Φ,0)
b. (0,Φ)
c. (-Φ,1)
d. none of these

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Answer 1

Answer:

b). (0,∞)

Step-by-step explanation:

f(x)= 1/x-[(1×2x-2(x+2)/(x+2)²]

=1/x-(2x-2x-4/x²+4+4x)>_0

=x²+4x+4+4x/x(x+2)² >_0

=x²+8x+4/x(x+2)²>_0