Question

Let f(x) = √x and g(x) = x be two functions over the set of negative real numbers. Find (f+g)x ,(f-g)x , (fg)x , (f/g)x .

Answer 1

`RELATIONS \: \: AND \: \: FUNCTIONS \\ \\ \\ We \: have \: , \: \\ \\ \\ (f+g)(x ) \: = \: √(x) + x \\ \\ \\ (f - g)(x ) \: = \: √(x) - x \\ \\ \\ (fg)(x) = √(x) (x) = {x}^{ (3)/(2) } \\ \\ \\ ((f)/(g) )(x) = ( √(x) )/(x) = {x}^{ ( - 1)/( \: \: \: 2) } \: \: \: \: \: \: \: \: \: Ans.`