Since (f/g)(x) = f(x)/g(x) for x to be in the domain of (f/g)(x) it must be in the domain of f and in the domain of g. You also need to insure that g(x) is not zero since f(x) is divided by g(x). Thus there are 3 conditions. x must be in the domain of f: f(x) = 3x -5 and all real numbers x are in the domain of x.
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).
( f o f )(x) = f ( f (x))
= f (2x + 3)
= 2( ) + 3 ... setting up to insert the input
= 2(2x + 3) + 3
= 4x + 6 + 3
= 4x + 9
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o g)(x).
(g o g)(x) = g(g(x))
= –( )2 + 5 ... setting up to insert the input
= –(–x2 + 5)2 + 5
= –(x4 – 10x2 + 25) + 5
= –x4 + 10x2 – 25 + 5
= –x4 + 10x2 – 20
Answer:
If light passes in an angle to a surface with a particular refractive index it refracts. This change in direction is due to a change in velocity. As light , for example, travels from air through water, it slows down, allowing it to continue travelling at a different angle or direction.
Step-by-step explanation:
The correct answer is the last option (Option D), which is:
D. Triangle
A cone is figure with a surface of three dimensions. This solid has a vertex know as "apex". Therefore, if a <span>plane that is perpendicular to the base of a cone passes through the apex or vertex of the cone, the shape that is formed by the intersection is a triangle.</span>
Forty five times nine thousand ninehundred ninety nine is equal to 449,955
Answer:
4 5/8 + 3 2/3 = 8 7/24
Step-by-step explanation:
hope it helps.
