SOLUTION: Find a formula for the inverse function f^-1 of the indicated function f. f(x)= 5 + 9x^9/13

Algebra ->  Inverses -> SOLUTION: Find a formula for the inverse function f^-1 of the indicated function f. f(x)= 5 + 9x^9/13      Log On


   

Question 261394: Find a formula for the inverse function f^-1 of the indicated function f.
f(x)= 5 + 9x^9/13
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
here is tthe orignal equation:
f%28x%29=+5+%2B+9x%5E%289%2F13%29
replace f(x) with y to get
y=+5+%2B+9x%5E%289%2F13%29
Now switch x and y to get
x=+5+%2B+9y%5E%289%2F13%29
step 1 - subtract - 5 to get
x-5+=+9y%5E%289%2F13%29
step 2 - divide by 9 to get
%28x-5%29%2F9+=+y%5E%289%2F13%29
step 3 - raise both sides to the 13/9 power to get
%28%28x-5%29%2F9%29%5E%2813%2F9%29+=+y