f1x2 = log3 1x + 52 and g1x2 = log3 1x - 12.(a) Solve f1x2 = 2. What point is on the graph of f?(b) Solve g1x2 = 3. What point is on the graph of g?(c) Solve f1x2 = g1x2. Do the graphs of f and g intersect?If so, where?(d) Solve 1f + g2 1x2 = 3.(e) Solve 1f - g2 1x2 = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 45E
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f1x2 = log3 1x + 52 and g1x2 = log3 1x - 12.
(a) Solve f1x2 = 2. What point is on the graph of f?
(b) Solve g1x2 = 3. What point is on the graph of g?
(c) Solve f1x2 = g1x2. Do the graphs of f and g intersect?
If so, where?
(d) Solve 1f + g2 1x2 = 3.
(e) Solve 1f - g2 1x2 = 2.

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