8/1/24, 2:40 PM 1/3 5. Solve 1/(x^2 -4) - 1/(2-x) x≠±2 x=-3 MATH CRAM SEMESTER TEST Jeremiah Terms in this set (29) Review 1 Have fun studying! 1. Given f(x)=2x+1, g(x)= (x-1)/2 Find (fog)(x) & (gof)(x) What do you conclude? They are inverses of each other. (fog)(x) f(g(x)) (gof)(x) g(f(x)) If (fog)(x) & (gof)(x) = 0, then... they are inverses; Chaudry's Wording: "f(x) & g(x) are inverses of each other" (optional explanation) because they both equal to the x value 2. If (2,4) lies on the graph of an even function, then which point on the graph corresponds to (2,4)? The corresponding point on the graph is (-2,4) (optional explanation) draw the graph When the graph is even, the corresponding point will... change on the x value. The y value remains the same. A reflection from the y-axis. When the graph is odd, the corresponding point will... change both x & y value. A 180* rotation from the (0,0) point/origin point 3. Sketch & write equation of h(x) with the following characteristics: - hole at x=1 - y = 2 is HA - x = -1 is VA - (-1/2,0) us x-int - (0,1) is y-int Step 1: Hole: (x-1)/(x-1) Step 2: VA: (x-1)/(x-1)(x+1) Step 3: HA: (2x+1)(x-1)/(x-1)(x+1) (You Sketch it) Hole Point: (1,3/2) 4. State the intervals on which the function is increasing/decreasing. Decreasing: (-∞, -1)u(2,4) Increasing: (-1,2)u(4,∞) (Ps. I'm not sure how to show this on here, draw the arrows on the graph) LCD: (-1)(x-2)(x+2) [I'm unsure on this part tho] MATH CRAM SEMESTER TEST
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