The function f(x) = (x + 10)° 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 (x) =x and f' (f(x)) =x. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) O A. f(x) = for xs O B. f'x) = for x2 OC. f'x) = for x+ O D. f'x) =| for all x b. Verify that the equation is correct. f(r (x) = and ffx) = f1(O Substitute. Simplify. The equation is
The function f(x) = (x + 10)° 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 (x) =x and f' (f(x)) =x. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) O A. f(x) = for xs O B. f'x) = for x2 OC. f'x) = for x+ O D. f'x) =| for all x b. Verify that the equation is correct. f(r (x) = and ffx) = f1(O Substitute. Simplify. The equation is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer correctly following the same format as the questions. Box the correct answer and I will give a thumbs up if the answer is correct, a thumbs down if answer is incorrect.
Chapter 2.7 Question 2
Answer Part A and B
Transcribed Image Text:The function f(x) = (x + 10)° 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(x) =x and f(f(x)) = x.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
O A. f'(x) =, for xs
O B. f(x) =
for x2
OC. f'x) =
for x+
O D. f(x) =
for all x
b. Verify that the equation is correct.
f(t-'x) = f(O
f (f(x)) = f'()
Substitute.
and
Simplify.
%3!
The equation is
Transcribed Image Text:O D. f'(x) =
b. Verify that the
verified.
f(t (x) = f(|
f(fx)) =
not verified.
The equation is
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