Question

Confused on what its asking PLEASE HELP

Answer 1

For question 6, recall that a sinusoidal function is of the form

A*sin(ω*t + φ)

where A is the amplitude, ω the angular frequency (in units of radians/second), and φ the phase (in radians). The amplitude is the magnitude of the peaks and troughs, the angular frequency inversely proportional to the period (ω = 2*π/T - the 2*π being a normalizing factor), and the phase a value between 0 and 2*π that "shifts" the graph of the function accordingly.

For question 7, you are being asked to find the composite function obtained by applying g to f, which would be  $1/\sqrt{3-t}$ . The domain would be the values for which this function is defined, which, assuming it to be a subset of the real numbers, would be the interval (-∞, 3] (as the square root of a negative number is an imaginary number.