Question

Let h(x)=2x+5h(x)=2x+5h, left parenthesis, x, right parenthesis, equals, 2, x, plus, 5 and g(x)=8-3xg(x)=8−3xg, left parenthesis, x, right parenthesis, equals, 8, minus, 3, x. What is the value of h(g(1.5))h(g(1.5))h, left parenthesis, g, left parenthesis, 1, point, 5, right parenthesis, right parenthesis?

Answer 1

h(x) = 2x + 5
g(x) = 8 - 3x

h(g(x)) = h(8 - 3x) = 2(8 - 3x) + 5 = 16 - 6x + 5 = 21 - 6x

h(g(1.5)) = 21 - 6(1.5) = 21 - 9 = 12