If f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?
1 answer:
Answer: Choice D) x can be anything but 13
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Explanation:
The domain of is the same as the domain of g(x)
The domain for g(x) is saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because
and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.
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Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)