Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
The mean of the data is given

The variance of the data is given

d=rt
divide by r on both sides
d/r = t
300/60 =t
5=t
t=5 hours
d=rt
d/t =r
250/4.5 =r
55.5555555=r
55 5/9 miles per hour
Answer:
y + 3 = 1/2(x + 3)
Step-by-step explanation:
Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))