Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
<u>Claim</u>: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection 
, but slightly to the side, around let's say, 
; the new line will coincide with 
if and only if 
, ie only the rotation happens around the intersection.
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40
Answer:
g(x) = -3|x|.
Step-by-step explanation:
Multiplying by 3 stretches the graph vertically by a factor 3 and the negative reflects in the x-axis.
