Explorationsw ahonolgg In Exercises 63–66, (a) graph fog and g o f and make a conjecture about the domain and range of each function. (b) Then confirm your conjectures by finding formulas for f og and g o f. g(x) = Vx alr) = Vr 63 f(x) = xr – 7, %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 60E
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Number 63

Explorations
In Exercises 63–66, (a) graph fogand g of and make a conjecture
about the domain and range of each function. (b) Then confirm your
conjectures by finding formulas for f og andgo f.
g(x) = Vx
63. f(x) = x - 7,
64. f(x) = 1 – x², g(x) = Vĩ
65. f(x) = x² –- 3, g(x) = Vx + 2
%3D
%3D
2х - 1
3x + 1
66. f(x) =
g(x) =
%D
x +3'
2- x
Transcribed Image Text:Explorations In Exercises 63–66, (a) graph fogand g of and make a conjecture about the domain and range of each function. (b) Then confirm your conjectures by finding formulas for f og andgo f. g(x) = Vx 63. f(x) = x - 7, 64. f(x) = 1 – x², g(x) = Vĩ 65. f(x) = x² –- 3, g(x) = Vx + 2 %3D %3D 2х - 1 3x + 1 66. f(x) = g(x) = %D x +3' 2- x
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