Given f(x)=x²+8 x-20 and g(x)=4 x-10, what is (f o g)(x) ?

Question

Question

A) 4 x²+32 x-90

B) 16 x²-48 x

(c) 16 x²+32 x-200

(D) 4 x³+22 x²-160 x+200

Determine the quadrant in which θ lies if cosθ<0 and cotθ>0.

Determine the quadrant in which 0 lies if cos 0 < 0 and cot 0 > 0.

Answer 1

Answer #1

1.for f(g(x)) so you have to take the equation g(x) and plug it in wherever you see an x in the f(x) equation:

f(g(x))=(4x-10)²+8(4x-10)-20 = 16x²-80x+100+32x-80-20 = 16x²-48x (Choice B)

2. Cos θ < 0 is only in 2nd ,3rd quadrants

Cot θ > 0 in 1st, 3rd quadrant

so, θ lies in 3rd quadrant

answered by: Ravi Prabhat

Answer 2

Answer #2

Answer 3

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