Question

Let f(x) = x2 - 16. Find f-1(x).

4square root of x

±square root of x plus 16

x squared over 16

1 over quantity of x squared minus 16

Answer 1

do you mean f^(-1)x?

Answer 2

naw what i put is what it sayes

Answer 3

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 4

Does it say\[f^{-1}x\]
?
If so you are looking for the inverse which is ±square root of x plus 16
iambatman covered how you get there

Answer 5

One nifty feature about the inverse functions is that you can construct them graphically.

Here's a plot of \(y = x^2-16\) (in blue). The green line is \(y = x\). The other parabola drawn in purple and olive is \(y = \pm \sqrt{x+16}\) and as you can see, is the original parabola reflected across the line \(y=x\)

Answer 6

the notation f^-1(x) implies that the inverse relation is a function, it is not

this question makes no sense.