Answer:
(f o g) (x) = 36x² + 3
(g o f) (x) = 6x² + 18
Step-by-step explanation:
f(x) is x² + 3
g(x) is 6x
(f o g) (x) means for all xs in f replace it with g(x) or 6x
(f o g) (x) = (6x)² + 3 - see 6x is in place of x and 6x is g(x)
(f o g) (x) = 36x² + 3
(g o f) (x) = 6(x² + 3)
(g o f) (x) = 6x² + 18
The best answer here would be choice B
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
