Given two functions , f(x)=x^2+3 , where x is real , g(x)=|x|-5 , x is real , find gf(x).
i found gf(x)=x^2-2
is it true that the range of gf(x) is the same as the range of g(x) ? If so,
the range of g(x) is [-5 , infinity) and the range of gf(x) is [-2 , infinity)
why arent they the same ?
hello strodle , thanks for replying but thats not my question . I would like to know whether the range of g(x) the same as the range of gf(x) ? If i draw the set diagrams with the arrows , i found them to be the same . Take a look at the diagram i attached . gf(x) and g(x) both arrive at the same set
Anyways , gf(x) could be further simplified knowing that x^2+3 is positive .