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Compositions and Inverses

Identify compositions and inverses of functions

AB
f(x) = sqrt(x+2) and g(x) = 5-x. Find f(g(x)).sqrt(5-x+2)
f(x) = sqrt(x+2) and g(x) = 5-x. Find g(f(x)).5-sqrt(x+2)
f(x) = sqrt(x+2) and g(x) = 5-x. Find (fog)(3)2
f(x) = sqrt(x+2) and g(x) = 5-x. Find (gof)(3)5-sqrt(5)
What is the inverse of a function?The relationship where the domain and range are switched.
f = {(0,1), (2,-4)}. Find the inverse of f.{(1,0), (-4,2)}
f(x) = 3/x. Find the inverse of f.y = 3/x
f(x) = 3x-1. Find the inverse of f.y = (x+1)/3
What is a composition of functions?It's when the range of one function is used as the domain of another.
f(x) = 4x^2-3 and g(x) = 2+x. Find (fog)(x).4(2+x)^2-3
f(x) = 4x^2-3 and g(x) = 2+x. Find (gof)(x).4x^2-1
f(x) = 4x^2-3 and g(x) = 2+x. Find f(g(1)).33
f(x) = 4x^2-3 and g(x) = 2+x. Find g(f(1)).3


Wanda Siebert

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