Solve for x I don't know how to solve it
1 answer:
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There are 2 tangent lines that pass through the point
and
Explanation:
Given:
The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for :
Substitute equation [2] into equation [1]:
Because the line must touch the curve, we may substitute
Solve for x:
±
±
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There are 2 tangent lines.
and
values that are <u>excluded from the domain</u> of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined. That happens when the denominator is zero out, let's do so
so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.