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 A+ A− B

## Is the inverse of a function always a function?

Practice Problems I

Problem 1)
f(x) = { (1,2) , (3,4) , (5,6) }
What is the inverse of this function?
Solving algebraically for the Inverse

## What is the inverse of f(x) = x +1?

Practice Problems II

Problem 1) What is the inverse of the function f(x) = x + 22?
 Step 1) replace f(x) with y Step2) switch x and y Step 3) solve for new 'y' Step 4) replace 'y' with f-1(x)

Problem 2) What is the inverse of the function f(x) = 2x ?
 Step 1) replace f(x) with y Step2) switch x and y Step 3) solve for new 'y' Step 4) replace 'y' with f-1(x)

Problem 3) What is the inverse of the function $$f(x) = \frac{1}{2}x + 3$$ ?
 Step 1) replace f(x) with y Step2) switch x and y Step 3) solve for new 'y' Step 4) replace 'y' with f-1(x)

Problem 4) What is the inverse of the function $$f(x) = x^2 + 3$$ ?
 Step 1) replace f(x) with y Step2) switch x and y Step 3) solve for new 'y' Step 4) replace 'y' with f-1(x)

Problem 5) What is the inverse of the function $$f(x) = 5 \sqrt{ x }$$ ?
 Step 1) replace f(x) with y Step2) switch x and y Step 3) solve for new 'y' Step 4) replace 'y' with f-1(x)