SOLUTION: Suppose f(x) = 2^(x^2) - 5, for x >=0.
find f^-1, the inverse of f. Determine the domain of f^-1.
compute f^(-11).
Algebra.Com
Question 447941: Suppose f(x) = 2^(x^2) - 5, for x >=0.
find f^-1, the inverse of f. Determine the domain of f^-1.
compute f^(-11).
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Assume that , solve this equation for x:=>
=>, interchange x and y and get the
inverse function:. The domain of this function is:
(5, ). The value x=-11 is not included in its domain for this value
the function is undefined.
RELATED QUESTIONS
Suppose f(x) =x^2 over the domain of f, then f^-1(x)=?
(answered by MathLover1)
Find the inverse function of f(x)=sqrt (x-3)
Specify the domain for f-1 (x).
f-1 (x)=
(answered by MathLover1,Theo)
Given : f(x)=2x^2+2
1. Find the domain of f(x).
2. Find the range of... (answered by josgarithmetic)
Given the equation of the function f(x)=(x-3)^2-5
a)Determine the equation of the... (answered by josgarithmetic)
Given that f(x) = x^2 + 2, with a domain of x = [0, ∞), find the following:... (answered by rothauserc)
Find the inverse function of f. State the domain and range of f.
f(x) =... (answered by funmath)
Consider the function f(x) = 8-x^2 for the domain [0,infinity).
Find f ^-1 (x), where f (answered by josgarithmetic)
For f(x)= -8x/x-2, find f^-1(x). State any restrictions on the domain of... (answered by stanbon)
Find the range of f(x)=x^2-2x-1 Determine the values of x in the domain of 'f' for which... (answered by edjones)