JaimeBeep JaimeBeep

15-12-2020
Mathematics

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

Verify that f has an inverse Then use function f and the given real number a to find f1a class=

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oscar236 oscar236

15-12-2020

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.

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