Range of the function f(x) = x^2 + x + 2 x^2 + x + 1 ; ;x R is - Vidyadip

MCQ

Range of the function $f(x) = \frac{{{x^2} + x + 2}}{{{x^2} + x + 1}};\;x \in R$ is

A
$(1,\;\infty )$
B
$(1,\;11/7]$
✓
$(1,\;7/3]$
D
$(1,\;7/5]$

✓

Answer

Correct option: C.

$(1,\;7/3]$

c
(c) $f(x) = 1 + \frac{1}{{{{\left( {x + \frac{1}{2}} \right)}^2} + \frac{3}{4}}}$

==> Range $ = (1,\,7/3]$.

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