SOLUTION: CONSIDER THE FUNCTION F(X) = 1/2x + 1 find the inverse of f(x) and name it g(x). show and explain your work. b. use function composition to show f(x) and g(x) are inverses of eac

Question 917546: CONSIDER THE FUNCTION F(X) = 1/2x + 1
find the inverse of f(x) and name it g(x). show and explain your work.
b. use function composition to show f(x) and g(x) are inverses of each other.
then i need to be shown how to graph it on a X Y graph
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
y = x/2 + 1
y - 1 = x/2
2y - 2 = x

f^(-1)(x) = 2x - 2

Notice that f(x) and f^(-1)(x) are symmetric about the line y = x.

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