Question

Given d(x) =16x²-5 find d-¹(x)

Answer 1

To find the inverse of a function, we need to switch the roles of x and y and then solve for y.

So, for d(x) = 16x² - 5, we switch x and y to get:
x = 16y² - 5

Now, solve for y:
x + 5 = 16y²
y² = (x + 5)/16
y = ±√((x + 5)/16)

Therefore, d^(-1)(x) = ±√((x + 5)/16)