Consider the functions f(x) = 8x + 16 and g(x) = x^2 + 2x + 5.
at what positive integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?

x =8

Step-by-step explanation:

To answer this question you must find the point at which

So, we have:

To solve the quadratic function we use the quadratic formula

±

Where:

Then:

The line cuts the parabola by 2 points, x = -1.472 and x = 7.47.

You can verify that between x = -1.472 and x = 7.47. the line is greater than the parabola, but from x = 7.47, the parabola is always greater than the graph of the line.

Therefore the point sought is:

x = 7.47≈ 8

answer

106 emergencies

step-by-step explanation:

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