SOLUTION: Find the inverse of each function. Show your work. (13) g(x) = (7/3) x + 2 (14) h(x) = (6x-5) / 2

Algebra ->  Functions -> SOLUTION: Find the inverse of each function. Show your work. (13) g(x) = (7/3) x + 2 (14) h(x) = (6x-5) / 2      Log On


   

Question 1198142: Find the inverse of each function. Show your work.
(13) g(x) = (7/3) x + 2



(14) h(x) = (6x-5) / 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the inverse of each function.
(13)
+g%28x%29+=+%287%2F3%29x+%2B+2

recall that +g%28x%29+=y
+y+=+%287%2F3%29x+%2B+2....swap the variables
+x=+%287%2F3%29y+%2B+2....solve for y

+x-2=+%287%2F3%29y+

+x%2F%287%2F3%29-2%2F%287%2F3%29=+y+

+y=%283%2F7%29x-6%2F7+
your inverse is:
+g'%28x%29+=%283%2F7%29x-6%2F7+



(14)
h%28x%29+=+%286x-5%29%2F2
y+=+%286x-5%29%2F2....swap the variables
x+=+%286y-5%29%2F2...solve for y
2x+=+6y-5
2x+%2B5=+6y
%282%2F6%29x+%2B5%2F6=+y
y=%281%2F3%29x+%2B5%2F6
your inverse is:
+h'%28x%29+=%281%2F3%29x+%2B5%2F6

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%286x-5%29%2F2%2C+%281%2F3%29x+%2B5%2F6%29+