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Algebra 2 Question - Function's Inverse

Which function’s inverse has the greatest value at x=4?

g(x)=10^x+2
k(x)=ln⁡⁡(x+3)
f(x)=log⁡⁡(x−1)
h(x)=e^x+2

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Andy C. | Math/Physics TutorMath/Physics Tutor
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Function G(x)
------------------------
4 = 10^x + 2
 
2 = 10^x
 
log 2 = log 10^x
 
1og 2 = x log 10
 
x = log 2/ log 10 = 0.30103
 
 
 
Function K(x)
----------------
 
4 = ln(x+3)
 
e^4 = x+3
 
e^4 - 3 = x = 54.59815
 
 
Function F(x)
------------------
 
4 = log(x-1)
e^4 = x-1
 
e^4 + 1 = x <--- this will be LARGER than the previous
                          so it's the largest thus far
 
----------------------------------------------------------
 
Function H(x)
 
4 = e^x + 2
 
2 = e^x
 
ln 2 = x = 0.693147
 
Winner:
K(x) = ln(x+3)