The graph of y = 2x is shown, along with the reflection line y = x. what is the equation of its inverse logarithmic function, and what are its domain and range?
y = log2x, domain: x > 0, range: all real numbers
y = logx2, domain: x > 0, range: all real numbers
y = 2−x, domain: all real numbers, range: y > 0
y = log2x, domain: all real numbers, range: y > 0

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2. after how many seconds will the ball hit the ground before rebounding?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Find the domain and range of the following function f(x) = 51x - 21+ 4