You are given two functions f(x) and g(x). How has the graph of g(x) changed from that of Ax)? f(x) = log (x + 1)
g(x) = log (x - 2) + 5
A)
g has been shifted up five units and to the left two units from f
B)
g has been shifted up five units and to the right three units from f
ghas been shifted down five units and to the left two units from F
D)
ghas been shifted down five units and to the right three units from F

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is