The values of a linear function are given in the table below: f(x) 0 7 12 x −7 0 5 What is the point with a positive xx-coordinate at which the exponential function g(x)=3x exceeds f(x)?     g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>2 for all x>9.   g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>2 for all x>9.   g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>9 for all x>2.   g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 35E
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The values of a linear function are given in the table below:

f(x) 0 7 12
x −7 0 5

What is the point with a positive xx-coordinate at which the exponential function g(x)=3x exceeds f(x)?

 
 
  • g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>2 for all x>9.
     
  • g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>2 for all x>9.
     
  • g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>9 for all x>2.
     
  • g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.
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