Find f +g, f – 9, fg and. Determine the domain for each function.
f(x) = 3x – 4, g(x) = x + 2

Step-by-step explanation:

f(x) = 3x - 4

g(x) = x + 2

(f + g) = f(x) + g(x)

         = 3x - 4 + x + 2

         = 4x - 2

Domain: All real numbers

(f - g) = f(x) - g(x)

        = 3x - 4 - (x + 2)

        = 3x -4 -x -2

        = 2x -6

Domain: All real numbers

(fg) = f(x) * g(x)

     = (3x - 4)(x + 2)

     = 3x^2 + 6x -4x -8

     = 3x^ 2 + 2x - 8

Domain: All real numbers

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.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point