SOLUTION: 1. Given f(x)=x^3-8, if f(x)=0, find x. A. 2 B. -2 C. 2 or -2 D. 0 E. None of the above 2. If f^-1(6)=-8, find f(-8). A. -1 B. -8 C. 0 D. 6 E. None of the above

Algebra ->  Functions -> SOLUTION: 1. Given f(x)=x^3-8, if f(x)=0, find x. A. 2 B. -2 C. 2 or -2 D. 0 E. None of the above 2. If f^-1(6)=-8, find f(-8). A. -1 B. -8 C. 0 D. 6 E. None of the above       Log On


   

Question 1024199: 1. Given f(x)=x^3-8, if f(x)=0, find x.
A. 2
B. -2
C. 2 or -2
D. 0
E. None of the above
2. If f^-1(6)=-8, find f(-8).
A. -1
B. -8
C. 0
D. 6
E. None of the above
3. If f(5)=−4and f(2)=5,find f−1(5).
A. -2
B. 5
C. 2
D. -4
E. None of the above
4. For each of the following functions, write an equation for the inverse function y = f −1(x).
f(x)=2x^3+1
5. For each of the following functions, write an equation for the inverse function y = f −1(x).
f(x)=5/7-x
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1. x%5E3+=+8 ==> x = 2
2. f%5E%28-1%29%286%29+=+-8 ==> f(-8) = 6.
3. f(2) = 5 ==> f%5E%28-1%29%285%29=2. (f(5)=−4 is only a distraction.)
4. f%28x%29+=+y+=+2x%5E3%2B1 ==> %28y-1%29%2F2+=+x%5E3 ==> root%283%2C%28y-1%29%2F2%29+=+x ==> f%5E%28-1%29%28x%29+=+root%283%2C%28x-1%29%2F2%29. The original function would have an inverse because f%28x%29=+2x%5E3%2B1 is a one-to-one function.
5. I leave this up to you.