G (x) = x + 1 (fog) (x) = x 2 + 3x + 1 ⇒ (fog) (x) = x 2 + 3x + 1 ⇒ f (g (x)) = x 2 + 3x + 1 ⇒ f (x + 1) = x 2 + 3x + 1 Eg x + 1 = p, then x = p - 1. ⇒ f (p) = (p - 1) 2 + 3 ( p - 1) + 1 ⇒ f (p) = p 2 - 2p + 1 + 3p - 3 + 1 ⇒ f (p) = p 2 + p - 1 So f (x) = x 2 + x - 1 - ->
ANSWER IS : x 2 + x - 1
answer right 2, up 3
any function with the following form is a transformation from f(x) = x²
g(x) = (x – a)² + b
were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.
then for a=2 positive and b=3 positive, we have
right 2, up 3
Answer:
Step-by-step explanation:
we can write -9 instead of x and y=1 instead of 1
so we write solution again
-9a+1b=-31
-9a-1b=-41
-18a=-72
a=4
we should write 4 instead of a
-9(4)+1b=-31
-36+b=-31
b=5
a=4
Answer: Carla P. 15.1
Step-by-step explanation: