Let , where…

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Let

f_k(x)=\log\bigl(x^{2}+kx+1\bigr)

, where

k\in\mathbb R

. (i) Find the set of all values of

k

for which

f_k

is defined for every real

x

. (ii) When

k=3

, state the domain of

f_k

.

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