Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
Answer:
Option B
Step-by-step explanation:
First term of the given arithmetic sequence 'a' = -3
Common difference in each successive term 'd' = -8 - (-3)
d = -5
Explicit formula for an arithmetic sequence will be,

Here, n = number of term
= nth term of the sequence

For n = 23,
= -3 + (23 - 1)(-5)
= -3 - 110
= -113
Option B is the answer.
The awnser is 1. 2/3
To find the ratio of the length of two different segments , just divide one by another:
BE ÷ DE
4 ÷ 6
4/6
or
2/3
Hope it helps