Let \(f(x) = ax+b\) , where \(a\) and \(b\) are real constants, and \(g(x) = 2x - 5\) . Suppose that for all \(x\) , it is true that \(g(f(x)) = 3x + 4\). What is \(a+b\)?
+36916 g(f (x) ) = 2(ax+b) -5 for all x , this equals 3x+4 solve for a and b
2ax+2b - 5 = 3x+4
2ax = 3x and 2b-5 = 4
a = 3/2 and b = 9/2 I think you can add these together for the answer.... 
