rectangle, use the y-coordinate of point B and find the y-coordinate of point A. That’s the
value of y when you plug x = −1.50 into the equation y = 2x^2 − 8:y = 2(−1.50)^2 − 8 = −3.5
So the height of the rectangle is 6.75 − (−3.5) = 6.75 + 3.5 = 10.25, and the area of the
rectangle is 3 × 10.25 = 30.75.47 . D
Take the sine of both sides:
The cosine and sine of an angle are related by the Pythagorean identity sin^2 x + cos^2 x = 1.
Therefore, for an angle whose cosine is 2x, the sine is48 . D
If f(g(x))=g(f(x)), then it doesn’t matter which function you apply first; you should get the
same result. This will happen under two sets of circumstances. The first is when the
functions are inverses, in which case both f(g(x)) and g(f(x)) will get you back to the x you
started with. The second is when the two functions are identical, in which case f(g(x)) and
g(f(x)) are identical. II is the inverse of f(x) and III is the identical function f(x), so II and III are
possible.