SOLUTION: Consider the function. f(x)= 1/2x + 1
a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverse
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Question 997925: Consider the function. f(x)= 1/2x + 1
a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverses of each other.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a. Find the inverse of and name it . Show and explain your work.
note:
.....to find inverse, swap and
....solve for
-> inverse
so
b. Use function composition to show that and are inverses of each other.
if and are inverses of each other, than will end up with just "", so we will have:
let's check it:
=> proof that and are inverses of each other
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