SOLUTION :
f(x) = y = 2 log3 (x) - 2
=> log3 (x) = (y + 2)/2
=> 3 ^ log3(x) = 3^((y + 2)/2)
=> x = 3^((y + 2)/2)
Interchange x and y :
=> y = 3^((x + 2)/2) = f^(-1) (x)
=> f^(-1)(- 8) = 3^((- 8 + 2)/2) = 3^(- 3) = 1/3^3 = 1/27.
Hence,
f^(-1) (- 8) = 1/27 : Option c (ANSWER).
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
1. f(x) c (2xA2xA3sin(x)) and -1<x<1 a. find c b. find E(x) 2. I define El-log(p(x) as entropy. Based on this formula, explain if the entropy of a broken glass is higher or an unbroken glass. 3. f(x) c(3x2 1) and -1<x<1 a. find c b. find E(x) c. find Var(x)
1-8
please
1. Find the value c that satisfies Rolle's Theorem for f(x) = cos x on A / B./2 C. D. E. 0 F. None of the above 311/4 2. The function f is graphed below. Give the number of values that satisfy the mean value theorem on the interval (-6,6). A. 0 B. 1 C. 2 D. 3 E. 4 F. None of these Page 1 of 5 1. The graph off) is shown. Find the value(s) where)...
A)Find the inverse of the function f(x)=3+{2x-1 B) SOLVE log(x+2)+log 3 (x-2)=2 5. 6. vords e here to search ORI
A cdf of X is given as follows. 0 8 16 1 2< (a) Find f(ar). (b) Find 50th percentile. (c) E(X) (d) V(x)
A cdf of X is given as follows. 0 8 16 1 2
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
6. Find the value of y a. log, 3) = y b. log, = y log (1125) = y d. 10° = y 15 =y 1 e 50 9. 200 7. Given the function and t f(0) = 2 g(x) = 5* Draw the 2 function. Which one grows faster with increasing & 8. Plot f(x) = log, (x) = y log2 (L) =y and g(x) =
Solve for x: 8^x=30 a) x= log^8 30 b) x= log^30 8 c) x= log(8) d) x= ln(8) e) x= log(30)
Question 8 Your answer is CORRECT. Find f' (27) given f(x) = x cos(4x). a) .1 b) -1 c) d) 0 811