SOLUTION: Find the inverse function of f(x)=-x^2+8x-14 and x ≤4. Find the domain of this inverse function.
Algebra.Com
Question 1199941: Find the inverse function of f(x)=-x^2+8x-14 and x ≤4. Find the domain of this inverse function.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Switch to x,y description.
Now to find the inverse, interchange x and y and solve for y.
This new y is the inverse of the original function.
Complete the square,
The zero is the first term on the right hand side to make the plus/minus sign work correctly,
Since the term under the radical must be non-negative,
RELATED QUESTIONS
f(x)=2x+4 find the inverse function, domain and range of inverse function
(answered by stanbon)
Find the inverse of the function... (answered by stanbon)
find the inverse function of... (answered by mathie123)
(a) Find the domain and range of the function f(x) = log(8x).
(b) Find the inverse of... (answered by stanbon)
Find the inverse function of f. State the domain and range of f.
f(x) =... (answered by funmath)
Find the inverse of the given one to one function f(x) = (x-1)/(x+2) Give the domain and... (answered by stanbon)
Find the inverse of this function, and state the domain and range of both the original... (answered by venugopalramana)
This question has three parts (a,b,c)
a) Find the inverse of the function.
b) State the (answered by khwang)
inverse of the function... (answered by stanbon)