Inverse Functions Pre Calculus 1 6 Inverse Functions
- Slides: 25
Inverse Functions Pre. Calculus 1 -6
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Is this function one-to-one? No Inverse Functions
• Two functions are inverse functions, when the combination of those functions, in any order results, in the identity function. • If the function is given as a set of ordered pairs, its inverse would have all the xcoordinates interchanged with their corresponding y-coordinates. Inverse Functions
Inverse Functions
• The functions f and g are inverses of each other if and only if – f(g(x)) = x for every x in the domain of g, and – g(f(x)) = x for every x in the domain of f. – In this case we write g as f-1 Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Find the inverse of the function Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Inverse Functions
Exploration
One-to-one function Not one-to-one Not a function One-to-one function Chairs are assigned to people # of molecules assigned to student Spleens are assigned to people Not a function, could have more than one pencil One-to-one function Not one-to-one function One-to-one function? ? ? SSN are assigned to people Days are assigned to people Not a function Not one-to-one? ? Exploration Not a function One-to-one function Same as function
• Inverse Functions • pg. 69 – 70 • 11 a, 21 -24, 31, 32, 45, 47, 48, 50, 63, 67 Homework
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