Homework SourseConsider the function fx x32 for the domain infinity 3 Fin
Consider the function f(x) = (x-3)^2 for the domain (- infinity, 3]. Find f^-1 (x), where f^-1 is the inverse of f. Also state the domain of f 1 in interval notation. f^-1 (x) = for the domain ![Consider the function f(x) = (x-3)^2 for the domain (- infinity, 3]. Find f^-1 (x), where f^-1 is the inverse of f. Also state the domain of f 1 in interval no](/WebImages/42/consider-the-function-fx-x32-for-the-domain-infinity-3-fin-1131574-1761604643-0.webp "Consider the function f(x) = (x-3)^2 for the domain (- infinity, 3]. Find f^-1 (x), where f^-1 is the inverse of f. Also state the domain of f 1 in interval no")
Solution
f(x) = (x-3)2 for domain (- infi, 3]
y = (x-3)2 => y + 3 = x
=> x = y + 3
f-1(x) = x + 3
x cannot be negative.
Domain: [0 , )
