The answer to this question is -5.
Answer: f(6) = (6)2 + 1 = 36 + 1 = 37
If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:
f(x) = x2 + 1
f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"
Step-by-step explanation:
(a) 
= 4n + 8
(b) row 13 has 60 seats
(a)
the sequence of seats is an arithmetic sequence whose n th term is
= 
+ (n - 1 )d
where is the first term and d the common difference
here the sequence is 12, 16, ....
with = 12 and d = 16 - 12 = 4, thus
= 12 + 4( n - 1 ) = 12 + 4n - 4 = 4n + 8
(b)
calculate the number of rows n when 60 seats
solve 4n + 8 = 60 ( subtract 8 from both sides )
4n = 52 ( divide both sides by 4 )
n = 13 ← number of rows
first of all we have the 5th term and 2nd term
T5=768 =a*r^4
T2=-12=a*r ^1
make a subject of formula in the both equations
that is a=T2/r and T5/r^4
a=12/r and a=768/r^4
when u equate them u will get
-64=r^3 so r=-4 then to find a that is 1st term
since second term is T2=a*r=12 an r=-4 then
a=12/-4 hence a=-3
