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x) · cot x = ¯csc 2 x d dx sec x = sec x tan x f(t) = 1 2 gt 2 + v 0 t + s0 v(t) = f'(t) a(t) = v'(t) = f"(t) d dx csc x = ¯csc x cot x d dx (f(x)⋅g(x))= f(x)g'(x)+ g(x)f'(x)
This time (f+g)(x)=f(x)+g(x) (f-g)(x)=f(x)-g(x) (fg)(x)=f(x)*g(x) (f/g)(x)=f(x)/g(x), g(x)≠0 (f ∘ g)(x)=f(g(x))
Describe each transformation of f to g: f(x) = |x| and g(x) = -3|x + 2| - 1. Write a function g if f(x) = x 2 has a vertical shrink of 1/3 followed.
6.1 The Composition of Functions f o g - composition of the function f with g is is defined by the equation (f o g)(x) = f (g(x)). The domain is the set.
Entry task Let g(x) be the indicated transformation of f(x). Write the rule for g(x). 4. f(x) = –2x + 5; vertical translation 6 units down g(x) = – 2x.
1. f( g(x)) = ____ for g(x) = 2x + 1 and f(x) = 4x, if x = 3 2. (f + g)(x) = ____ for g(x) = 3x 2 + 2x and f(x) = 3x + 1 3. (f/g)(x) = ______ for f(x)
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