The function f(x) = x - 2 is one-to-one. a. Find an equation for f, the inverse function. b. Verify that your equation is correct by showing that f(1*(x) 1 -1 =x and f (1(x)) = x. O B. 1**) =., for x* Oc. r*m)=| O D. 1) =, for x2| for xs b. Verify that the equation is correct. 1(1*«) = 1() and Substitute. Simplify. The equation is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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The function f(x) = x - 2 is one-to-one.
a. Find an equation for
-1
, the inverse function.
b. Verify that your equation
correct by showing that f(f (x)
=x and f*(1(x)) = x.
O B. f *(x) =, for x#
O c. f *(x) =
for xs
O D. f (x) =
for x2
b. Verify that the equation is correct.
1(1*w) =
x) = f
and
Substitute
Simplify.
The equation is
Transcribed Image Text:The function f(x) = x - 2 is one-to-one. a. Find an equation for -1 , the inverse function. b. Verify that your equation correct by showing that f(f (x) =x and f*(1(x)) = x. O B. f *(x) =, for x# O c. f *(x) = for xs O D. f (x) = for x2 b. Verify that the equation is correct. 1(1*w) = x) = f and Substitute Simplify. The equation is
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