44. Splitting up curves The equation y4 f4(x) (see figure). = 4x² is associated with four one-to-one functions, f₁(x), f₂(x), ƒ³(x), and a. Find the domain and a formula for each function. b. Find the inverse of each function and write it as y = ƒ−¹(x). y = f(x) y = f₁(x) * -1 y = f(x) y = f(x)

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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44. Splitting up curves The equation y4 = 4x² is associated with four one-to-one functions, f₁(x), ƒ2(x), ƒ3(x), and
f4(x) (see figure).
a. Find the domain and a formula for each function.
b. Find the inverse of each function and write it as y = f-¹(x).
y = f(x)
y = fz(x)
y = f(x)
y = f(x)
X
Transcribed Image Text:44. Splitting up curves The equation y4 = 4x² is associated with four one-to-one functions, f₁(x), ƒ2(x), ƒ3(x), and f4(x) (see figure). a. Find the domain and a formula for each function. b. Find the inverse of each function and write it as y = f-¹(x). y = f(x) y = fz(x) y = f(x) y = f(x) X
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