Verify that f has an inverse. Then use function f and the given real number a to find (f-1)'(a).

Answer:
6.
Step-by-step explanation:
f(x) = √(x - 4) x > 4
y = √((x - 4)
Square both sides
y^2 = x - 4
x = y^2 - 4
So the inverse:
f-1(x) = x^2 + 4
f(-1)'(x) = 2x
When x = 3
f(-1)'(3) = 2(3) = 6.