SOLUTION: If f(x) = 7x^5 - 3, then f ^-1(x) = a. [(x + 7)/5]1/3 b. [(x + 3)/5]1/7 c. [(x + 5)/7]1/3 d. [(x + 7)/3]1/5 e. [(x + 3)/7]1/5 f. [(x + 5)/3]1/7 g. none of these

Algebra ->  Functions -> SOLUTION: If f(x) = 7x^5 - 3, then f ^-1(x) = a. [(x + 7)/5]1/3 b. [(x + 3)/5]1/7 c. [(x + 5)/7]1/3 d. [(x + 7)/3]1/5 e. [(x + 3)/7]1/5 f. [(x + 5)/3]1/7 g. none of these      Log On


   

Question 51184: If f(x) = 7x^5 - 3, then f ^-1(x) =
a. [(x + 7)/5]1/3
b. [(x + 3)/5]1/7
c. [(x + 5)/7]1/3
d. [(x + 7)/3]1/5
e. [(x + 3)/7]1/5
f. [(x + 5)/3]1/7
g. none of these
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The way to find an inverse function, you begin with an xy equation:y+=+7x%5E5+-+3.

There are two steps:
1. Interchange the x and y; and
2. Solve for y.

Given: y+=+7x%5E5+-+3

Step 1: x=+7y%5E5-3

Step 2: Solve for y.
Add +3 to each side:x%2B3=+7y%5E5

Divide by 7: %28x%2B3%29%2F7=y%5E5

Take the 5th root of each side or raise both sides of the equation to the 1%2F5 power
+%28%28x%2B3%29%2F7%29%5E%281%2F5%29+=y+

It looks like e) is the correct answer!

R^2 at SCC