how do u find the inverse of this function:
x^9*5+6
y = x^9 times 5 + 6
trade the letters
x = y^9 times 5 +6
Solve for y
(x-6)/5 = y^9
take the 9th root of each side
the 9th root of (x-6)/5
so what is the answer
To find the inverse of a function, you need to switch the roles of the variables. In other words, replace the variable "x" with "y" and "y" with "x".
Let's apply this process to the function given:
1. Start with the original function: y = x^9*5 + 6.
2. Replace "y" with "x" and "x" with "y" to switch the variables: x = y^9*5 + 6.
3. Now, solve this equation for "y" to find the inverse function.
Subtract 6 from both sides: x - 6 = y^9*5.
Divide both sides by 5: (x - 6)/5 = y^9.
Take the 9th root of both sides to isolate "y": [(x - 6)/5]^(1/9) = y.
Thus, the inverse of the given function is y = [(x - 6)/5]^(1/9).