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) ?

Question

Mathematics

Carissa Gates

1 March, 03:50

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) ?

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Answers (1)

Know the Answer?

Charles Richardson · Answer 1

At x=7

Step-by-step 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).