Find the inverse function (if it exists) of h(x)=x4x+3. If the function is not invertible, enter

what does x4x mean?

did you mean x^(4x) ?

Yes

To find the inverse function of h(x) = x^4x + 3, we need to follow these steps:

Step 1: Replace h(x) with y.
y = x^4x + 3

Step 2: Swap the roles of x and y.
x = y^4y + 3

Step 3: Solve the equation for y. This may involve factoring, simplifying, or using algebraic methods.
x = y^4y + 3
x - 3 = y^4y
(x - 3) = y(y^3)
(x - 3) = y^4

Step 4: Take the fourth root of both sides to isolate y.
y = (x - 3)^(1/4)

Therefore, the inverse function of h(x) = x^4x + 3 is f(x) = (x - 3)^(1/4).