Let g be the function defined by g(x) = −x2 + 4x. Find g(a + h), g(−a), g( a ), a + g(a), and 1 g(a) .

Answer 1

g(a+h) = -(a+h)^2 + 4(a+h) = (a+h) [ -(a+h) + 4] = (a+h) [ -a -h + 4]

g(-a) = -a^2 - 4a

g(a) = -a^2 + 4a

a+g(a) = a+ -a^2 + 4a = -a^2 + 5a

1*g(a) = g(a) = -a^2 + 4a