Question 969216
{{{ g(x) = log_3((x+6)/2)  }}}
i. find the domain of g in interval form
x+6≥0
x≥-6
(-6, ∞)
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ii. find the x-intercept(s) of the graph of g
set g=0
log_3((x+6)/2)=0
exponential form: base(3) raised to log of number(0)=number((x+6)/2)
3^0=(x+6)/2
1=(x+6)/2
x+6=2
x=-4
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In what quadrant does the terminal side of an angle of 5 radians lie? justify your answer
use degrees:
5 radians/π*180≈286˚
5 radians lie in quadrant IV
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Find all solutions for the equation: 
{{{ sqrt(3)sec(4t) = -2 }}}
sec(4t)=-2/√3
cos(4t)=-√3/2
4t=5π/6+2πk, 7π/6+2πk, k=any integer
t=5π/24+2πk, 7π/24+2πk, k=any integer