Is the inverse a function? f(x)=sqrt [3](x-3) D yes no Write the inverse function in the form a(bx+c)^3+d , where a, b , c, and d are constants . Simplify any fractions. f^-1(x)=square

To determine if the inverse of the function is also a function, we need to check if the inverse function passes the vertical line test. The vertical line test states that if any vertical line intersects the graph of a function at more than one point, then the function is not a function. In this case, the function is a cube root function shifted 3 units to the right. The graph of this function is a curve that passes the vertical line test, meaning it is a function.To find the inverse function, we need to swap the x and y variables and solve for y. Let's start by replacing with : Now, we'll swap the x and y variables: To solve for y, we'll cube both sides of the equation: Finally, we'll add 3 to both sides to isolate y: So, the inverse function is .Therefore, the answer is:D yes