SOLUTION: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f^-1 does to x.

Algebra ->  Functions -> SOLUTION: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f^-1 does to x.      Log On


   

Question 886663: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f^-1 does to x.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
What function g(x) makes this happen: f%28g%28x%29%29=2g%28x%29%2B3=x ?
Solve that for g(x).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f^-1 does to x.


f(x) = 2x + 3

y = 2x + 3

x = 2y + 3 ---- Interchanging x and y

2y = x - 3

y+=+%28x+-+3%29%2F2

highlight_green%28highlight_green%28f%5E-1%28x%29+=+%28x+-+3%29%2F2%29%29

You should be able to do the comparison!!