Let , where is a real polynomial…

MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

Let

f(x)=\sqrt{g(x)}

, where

g

is a real polynomial function. (i) If

g(2)=-5

, explain with reason whether

f(2)

is defined. (ii) Give a logical justification for the statement: "The domain of

f

consists precisely of all real numbers

x

for which

g(x)\ge 0

." (iii) Let

g(x)=x^2-4x+3

. Determine the domain of

f

when this specific

g

is used, expressing your answer in interval notation.