3 The function f(x) = (x + 3)° is one-to-one. a. Find an equation for f*(x), the inverse function. b. Verify that your equation is correct by showing that f(f) -1 =x and f (f(x)) = x. ... O A. 1)= for x# -1 O B. f *(x) = for all x -1 Oc. ) =| for xs -1 O D. f*x) =| for x: b. Verify that the equation is correct. and f = f Substitute. Simplify.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 20E
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3
The function f(x) = (x + 3)° is one-to-one.
a. Find an equation for f*(x), the inverse function.
b. Verify that your equation is correct by showing that f(f)
-1
=x and f (f(x)) = x.
...
O A. 1)=
for x#
-1
O B. f *(x) =
for all x
-1
Oc. ) =|
for xs
-1
O D. f*x) =|
for x:
b. Verify that the equation is correct.
and
f
= f
Substitute.
Simplify.
Transcribed Image Text:3 The function f(x) = (x + 3)° is one-to-one. a. Find an equation for f*(x), the inverse function. b. Verify that your equation is correct by showing that f(f) -1 =x and f (f(x)) = x. ... O A. 1)= for x# -1 O B. f *(x) = for all x -1 Oc. ) =| for xs -1 O D. f*x) =| for x: b. Verify that the equation is correct. and f = f Substitute. Simplify.
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