Is the inverse a function? h(x)=sqrt [3](x)-4 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. h^-1(x)=square

## Step 1The given function is \(h(x) = \sqrt[3]{x} - 4\). To find the inverse of this function, we first replace \(h(x)\) with , which gives us .## Step 2Next, we swap and to get .## Step 3Now, we solve for to find the inverse function. We start by adding 4 to both sides of the equation to isolate the cube root term on one side. This gives us .## Step 4To get rid of the cube root, we cube both sides of the equation, which gives us \((x + 4)^3 = y\).## Step 5Finally, we replace with \(h^{-1}(x)\) to get the inverse function. This gives us \(h^{-1}(x) = (x + 4)^3\).