Functions (2)

Algebra Level 4

Let $f: (0, \infty) \to \mathbb R$ be a function satisfying $f(x) + e^{f(x)} = \dfrac2x - \ln x - 1$ . Find the range of $x$ satisfying the inequality $f(2x^2 + 1) - f(x^2 + 5) \geq f(1) .$ , $x>0$

Notation : $\mathbb R$ denotes the set of real numbers .

x\ge 2, x\le -2

0<x<1

-2\le x\le 2

0<x\le 2

x>1, x<1

x>0

x\le -2

x\ge 2

1 solution

Μπαμπινος Μ.Σ
Jul 14, 2016

Functions (2)

1 solution

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