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23) logg (x - 5) + logg (x - 5) = 1 A) -8,8 23) — B) 8 - 26, 26 D) 126
x +1 if-2<x<3 |-x if x 23 8. Graph the function f(x)-
Find (fog)(x) and (g of)(x) and the domain of each. f(x) = x2 - 23, g(x) = 3x - 7
"23. The position of a runner is given by x 4.0t 0.50t', where x is in meters and t is in seconds. What is the average speed between0 andt 8.0 s? (Hint: Find the maximum value of x to determine each of the outward and backward distances.)
Solve for x. 0 -2 x – 6 -23 1 = 0 x +4 -2 -5 X - –6 X = Submit Answer Tries 0/10
a. Prove that if A is any square matrix then A3 X = 23 X (Should prove it for any matrix, this means you cannot choose a specific matrix), where 1 is an eigen value of A and X is its corresponding eigen vector. b. Use the formula in part a to find A X when A = [521
Prove or Disprove 23. If x <y, then-y -x. Remark 39. What is the analogous problem and answer for bounded below and infima? Prove or Disprove 37. Let SCR be nonempty and bounded below. Then inf(S) exists.
x-7 x+4 8r 23 b)Gr-7)X(x+ 4) (x-7)(x+4) (r-7)r4
3) Is {1 - 22 +23, 3+2x+6r%, 3+4x3, x+222 +23} linearly independent or linearly dependent?
Question 23 . > 1 if x = 3 and f(x) = x2 – 3 and g(x) = then g(f(x)) Find the following given: f(x) = x2 + 3 and g(x) = x – 2 f(g(x))= Submit Question