How to find a domain and range and express it in a function
1 answer:
Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .
Step-by-step explanation:
For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.
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Answer:
Step-by-step explanation:
Sin theta is the ratio of side opposite over hypotenuse of a reference angle situated at the origin in an x-y coordinate plane. If sec theta is negative, then the only quadrant where sin is positive AND sec is negative is quadrant 2. Remember that sec theta is the inverse of cos theta. Puttling our right triangle in QII, the side measuring 7 is across from the angle and the hypotenuse is 11. In order to find the cos theta and tan theta, we need the side adjacent to the angle. Use Pythagorean's Theorem to find the side adjacent.
and
and
so
Remember that this value is why the sec is negative. Because x is negative in QII, the cos theta is side adjacent over hypotenuse:
and
But we should probably rationalize that denominator, so