# Function Operations

Given the following functions, evaluate each of the following: f(x) = x² + 9x + 18 g(2) = x + 6 (f +9)( – 2) = (f – g)(2) = (f.g) (-4) = (4) (4) – Function Operations Given the functions: f(x) = 8x g(x) 3x + 2 h(x) 9×2 – 3x + 2 = = Determine each of the following. Give your answers as simplified expressions written in descending order. g(x) + h(x) = Find and simplify g(x) + h(2) h(a) – g(x) = = Find and simplify h(x) – g(x) f(x) h(x) = Find and simplify f(x)h() h(2) g(x) = h(2) Find and simplify -, hint: you will need to g(x) factor h(x) g(2) The domain restriction for is f(3) x + = 2x + 5 and g(x) = 6 – x2, calculate Given that f(x) (a) f(g(0)) = (b) g(F(0)) = Use the graphs to evaluate the expressions below. 6+ f(x) 8(x) 5 5 4 3 4 3 2 2 1 1 х х 1 2 3 4 2 4 5 6-1 a 1-1 5 f(g(4) = g(f(2)) = f(f(1)) = = II g(g(5)) – Let f(x) = 2x + 5 and g(x) = 3×2 + 3x. After simplifying, (fog)(x) = = Let f(x) = 1 X – 6 – and g(x) .) – 7 + 6. Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) =

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