Step-by-step explanation:
x²+4x=8
rearrange
x² + 4x - 8 = 0
half of 4 is 2
so
x² + 4x + 2² - 2² - 8 = 0
do x² + 4x + 2²
multiplies to give 4 adds to give 4
2+ 2
(x + 2)²
(x + 2)² - 2² - 8
(x + 2)² - 4 - 8
(x + 2)² - 12
(x + 2 + √12) (x + 2 - √12)
√12 = √4 * √3 = 2 √3
(x + 2 + 2√3) (x + 2 - 2√3)
Answer:
(x² -7)/(2x + 1)
Step-by-step explanation:
f(x) = 2x+1 and g(x) = x² -7
thus: (g/f)(x) = g(x)/f(x) = x² -7/2x + 1
The given sequence is:

a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =

So the average rate of change for the given function from n = 3 to n = 4 is 6