If f(x)+5x -2 and g(x)+2x+1 find (f+g)(x)

9514 1404 393

  (f+g)(x) = 7x -1

Step-by-step explanation:

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

  = (5x -2) +(2x +1)

(f+g)(x) = 7x -1

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