The function f(x)=12sin(x−π4) is used to describe a water wave. The value x is the time in seconds, and f(x) is the position of the wave in feet above or below the normal water level. On which of these intervals does f−1(x) exist?

A
[0,2π]

B
[0,π]

C
[3π4,7π4]

D
[π4,5π4]

Simone claims the initial value and y-intercept are the same thing on a graph. is she correct? if you know that a line has a slope of and a y-intercept of 7, what is the equation for that line in slope-intercept form?

Let f(x) = x+3 and g(x) = 1/x the graph of (fog)(x) is shown below what is the range of (fog)(x)?

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years