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

Algebra ->  Inverses -> 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      Log On


   

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) About Me  (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.
graph%28500%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F2+%2B+1%2C+2x+-+2%29