Given: f(x) = 3x2+ 1, g(x) = 2x - 3, h(x) = x
g-1(x) =
a. -2x + 3
b. (x + 3)/2
c. 2(x + 3)
f(x) + g(x) =
a. 3x^2 + 2x - 2
b. 5x^3 - 2
c. 3x^2 + 2x + 4
f(-2) =
a. -11
b. 13
c. 37
f(3) + g(4) - 2h(5) =
a. 13
b. 23
c. 33

For this case we have the following functions:

We have to:

is given by:

Thus, the correct option is the option is A.

On the other hand,

Thus, the correct option is the option is A.

We also have:

Thus, the correct option is the option is B.

Last we have:

Thus, the correct option is the option is C.

Option A, A, B, C

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2