SOLUTION: Consider the functions f(x) = 2x + 25, g(x) = x2 + 5, and h(x) = 5x. At what integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?

Question 968648: Consider the functions f(x) = 2x + 25, g(x) = x2 + 5, and h(x) = 5x.

At what integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!

g exceeds f for any values to the left of the lesser root of this inequality, and to the right of the greater root of this inequality.

ROOTS:

, only the roots for the described inequality.

This is not the final answer, because you want to know the integer values; but you can be sure that no values between the roots satisfy the inequality.
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