If g(x) = f(x3), find g′(x). Which of the following is the answer? a. g ′(x) = f ′(3x2)

b. g ′(x) = 3(f ′(x3))

c. g ′(x) = 3x2(f ′(x3))

d. g ′(x) = 6x(f ′(x3))

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

i would need to see the dot plot : )