Show that f(x)=4x^5-8x^4 is one to one algebraically. Then find the inverse.

Not necessarily looking for the answer, i just don’t know how to put the problem together

1 answer

Just looking at the graph, you can see that f(x) is not 1-1.
For example f(-0.559) = f(0.657) = f(1.984) = -1
So it has no single inverse.

For f to be 1-1, it must be monotonically increasing or decreasing. That means that f'(x) is always either positive or negative.
Similar Questions
  1. Let f(x)=(x-2)^3+8a.Show that this function is one-to-one algebraically. b. Find the inverse of f(x)
    1. answers icon 1 answer
  2. Let f(x)= (x-2)^3+8a. Show that this function is one-to-one algebraically. b. Find the inverse of f(x)
    1. answers icon 1 answer
  3. Let f(x)=(x-2)^3+8a. Show that this function is one-to-one algebraically b, Find the inverse of f(x)
    1. answers icon 1 answer
    1. answers icon 3 answers
more similar questions