Question

Consider the functions f(x)=4x+15 and g(x)=x^2-x+6. At what positive integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?

Answer 1

At x=7

Explanation:

Let's evaluate!!

When x = 6

f(6) = 4*6 + 15 = 24 + 15 = 39

g(6) = 6² - 6 + 6 = 36

When x = 7

f(7) = 4*7 + 15 = 28 + 15 = 43

g(7) = 7² - 7 + 6 = 48

Check!! When x=7, g(x) excees f(x).