Question

Find the inverse function of the function f. Find the range off and the domain and range of f(x) = 7 sin (5x-3); Find the inverse, " off. (Simplify your answer. Use integers or fractions for any numbers in the expression.) The range of f(x)is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression)

Answer 1

Given fous = 7 sin ( 52-3) domal СЕ olw xe (-, +] + domain 16 fra) 52-3 € (-1,9] = sin(5x-3) € (-1,1] -3 52-3 z ] a range of f(x) fr) t [-7, 7 ow, y= 7 sin (5x-3) => Sin (52-3) = 52-3 = sin(74) 5x + 3+ sin() :.22 3+ $ sin" (4) » f'() = t ýsin" () s domain of f-'(x) = range of f(x)= [-7, 7] range of f() = domain of f(): [ - o, š="60]