Operations of Functions

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