From the description, we have the function

Since the square root cannot be a negative number, the only thing need to do to find the domain of the function

is take the expression inside the square rot and set it greater or equal than zero:




or

We can conclude that we can use the inequality

to find the domain of

. Also, the domain of

is (∞,

]U(5,∞).
C + t = 75......c = 75 - t
6c + 3t = 312
6(75 - t) + 3t = 312
450 - 6t + 3t = 312
-6t + 3t = 312 - 450
-3t = - 138
t = -138/-3
t = 46 <=== 46 cups of tea were sold
c = 75 - t
c = 75 - 46
c = 29 <=== 29 cups of coffee
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of <em>A</em>, <em>C</em>, and <em>D</em> to complete the equation modeling the function <em>g</em>, we get;
g(x) = 3·sin(x + π/2) - 4