Find the inverse of each function: g(x)=
A. g^{-1}[/tex](x)=
B. g^{-1}[/tex](x)=
C. g^{-1}[/tex](x)=
D. g^{-1}[/tex](x)=

Step-by-step explanation:

Replace g(x) with y, then switch the x and y variables:

Solve for the new y value, multiply by 2:

Subtract 5 on both sides:

Divide by -5 on both sides:

Distribute the negative sign and rearrange:

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.