Question 937340

{{{f(x) = (x+1)^(3/4)}}}

{{{f(x) = root(4,(x+1)^3)}}} ...as you can see, the radicand is {{{(x+1)^3}}} and if radicand is greater or equal to zero solution will be a real number

so, it will be equal to zero if {{{(x+1)^3)}}} =>{{{x=-1}}}-first solution that is real number, and all solutions that are real number will be if {{{x>=-1}}}

answer: the values of {{{x>=-1}}} for which f(x) is a real number


{{{ graph( 600,600, -10, 10, -10, 10, (x+1)^(3/4)) }}}