SOLUTION: Find the inverse of f(x)=x^3+1
Please explain line by line step by step explanation. Thank you.
Algebra.Com
Question 1140512: Find the inverse of f(x)=x^3+1
Please explain line by line step by step explanation. Thank you.
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
to find the inverse, swap x and y
solve for y
y^3 = x - 1
Find the cube root of both sides
y =
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The other tutor showed you the standard method for finding the inverse of a function: switch x and y and solve for the new y.
For many relatively simple functions, you can find the inverse easily using the fact that an inverse function "gets you back where you started".
For an inverse function to get you back where you started, it has to perform the opposite operations and in the opposite order, compared to the given function.
In this example, the operations performed by the given function are
(1) cube the input; and
(2) add 1
The inverse function then has to
(1) subtract 1; and
(2) take the cube root
So the inverse function for this example is
RELATED QUESTIONS
Find the average rate of change of f(x) =2x^3 from -4 to 0
Need this solved step by step (answered by MathLover1,rothauserc)
Please can someone help me find the inverse of this function step by step?
f(x)=2-the... (answered by ewatrrr)
Find the inverse of f(x)=1/(x-4) step by... (answered by Boreal)
I am trying to find the inverse of each function and express it in the form y=f inverse... (answered by venugopalramana)
Find the average rate of change of f(x) = x to the 3rd power -2x +1 from 1 to 3
On the x (answered by Alan3354)
Could you explain, step by step, how to solve the following equation?
Let f(x) = | 3... (answered by dabanfield)
Determine the domain and range of the function
f(x)=5/x+1 -3
Need it explained step by (answered by MathLover1)
For the functions f(x)=3x+9 and g(x)=2x-4, find (f+g)(0)
Need this solved step by step... (answered by MathLover1)
A line contains (1,y),(4,5),(2,-1),and (x,3)find the values of x and y. please show me... (answered by ewatrrr)