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

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

$f(x)=4x+15$

$g(x)=x^{2}-x+6$

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function