SOLUTION: determine if g is the inverse of f. http://i.imgur.com/Zy89Eb8.png f(x)=3x + 5; g(x)=1/3x - 5/3

Algebra ->  Inverses -> SOLUTION: determine if g is the inverse of f. http://i.imgur.com/Zy89Eb8.png f(x)=3x + 5; g(x)=1/3x - 5/3      Log On


   

Question 939679: determine if g is the inverse of f.
http://i.imgur.com/Zy89Eb8.png
f(x)=3x + 5; g(x)=1/3x - 5/3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3x+%2B+5; g%28x%29=%281%2F3%29x+-5%2F3
find inverse of f%28x%29=3x+%2B+5
since
f%28x%29=y we have
y=3x+%2B+5 ...swap x and y
x=3y+%2B+5 ....solve for y
x-5=3y+
x%2F3-5%2F3=y+
y=%281%2F3%29x+-5%2F3
or
f%5E-1%28x%29=%281%2F3%29x+-5%2F3
so, g is the inverse of f

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x+%2B+5%2C+%281%2F3%29x+-5%2F3%29+