Answer:
[tex](f+g)(x) = 5x^2 -5x - 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 3x^2 -7x + 2 = 5x^2 -7x + 2\\\\g(x) = 2x - 5\\\\(f + g)(x) = f(x) + g(x) \\[/tex]
[tex]= (5x^2 - 7x + 2 ) + ( 2x - 5)\\\\= 5x^2 - 7x + 2x + 2 - 5\\\\= 5x^2 -5x - 3[/tex]