Answer
$(-∞, -2) U (5, ∞)$
Work Step by Step
Values of x in which $f(x) > g(x)$
Given $f(x) = x^2$ and $g(x) = 3x + 10$
$x^2 > 3x + 10$
$x^2 - 3x - 10 > 0 $
Find the roots of the function
$(x-5)(x+2) = 0$
$x = 5, -2$
Test numbers in between those zero values to determine if the function is negative or positive
(-∞, -2) $(-)(-) = (+)$
(-2, 5) $(-)(+) = (-)$
(5, ∞) $(+)(+) = (+)$
Thus the solution is $(-∞, -2) U (5, ∞)$
