Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Answer:
$237.72
Step-by-step explanation:
2cos^2x+cosx-1 = 0
2cos^2x + 2cosx - cosx - 1 = 0
(2cos^2x + 2cosx) - (cosx + 1) = 0
2cosx(cosx + 1) - 1(cosx + 1) = 0
(cosx + 1)(2cosx - 1) = 0
cosx+1 = 0 or 2cosx-1 = 0
cosx+1 = 0 gives cosx = -1, x = PI
2cosx-1 = 0 gives cosx = 1/2, x = PI/3 or x = 5PI/3
answer: x = PI/3 or x = PI or x = 5PI/3
I believe its 3 because the range is the distance between the highest and lowest number