(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(x) = 4x-x^{2}

Question: Find the equations of the lines that pass through P(2,7) and are tangent to the graph of f(x).

(P is not on f(x).)

Thats all the problem states.

2. Relevant equations

f(x) = 4x-x^{2}

Point (2,7)

3. The attempt at a solution

Ive tried finding f'(x) and plugging f' into the Line equation y=mx+b.

y=(4-2x)x+b.

Then plugging in Point P.

7=(4-2x)2+b - Im not really sure if this is heading in the right direction.

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# Homework Help: Lines tangent to f(x)

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