Operations of Functions
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Addition
(f +g)(x)= f(x)+g(x)
Division
(f /g)(x)=f/g (x)= f(x)/g(x)
Subtraction
(f −g)(x)= f(x)−g(x)
Let f(x)=x+3 and g(x)=x2 +5x+6 Find (f+g)(x)
(f+g)(x)=x2 +6x+9
Let f(x)=x+3 and g(x)=x2 +5x+6 Find (fg)(x)
(fg)(x)=x3 +8x2 +21x+18
Let f(x)=x+3 and g(x)=x2 +5x+6 Find (g / f )(x) = g(x)/f(x)
(g / f )(x) = x + 2
Multiplication
( fg)(x) = f (x)g g(x)
Composition
[f og](x)= f[g(x)]
f(x) = 3x + 4 and g(x) = 6x + 8, A) Find f og
f (g(x)) =18x + 28
f(x) = 3x + 4 and g(x) = 6x + 8, B) Find [g o f ](2)
g( f (2)) = 68