Answer: Inverse of f(x)=-x^3-9 is Option B is correct option. need to find inverse of For finding the inverse replace f(x) with y Now, solve for x Adding 9 on both sides Multiply both sides by -1 Taking cube root on both sides: Now replace x with f^{-1}(x) and y with x So, inverse of f(x)=-x^3-9 is Option B is correct option.
STEP BY STEP :Solve equations by using inverse operations, including squares, square roots, cubes, ... 1 x = Solve: 2 3 x- = . x has 2 subtracted from it, so we add 2 to both sides. 2 3. 2. 2 x - = + ... 9 x = Solution: a. 2. 9 81 x = = b. 9. 3 x = ±. = ± c. 3 9 x = (this won't simplify, so we leave it as is) ... Now use inverse operations by adding 6 to get.