SOLUTION: f(X)= e^X+5 +4 find the domain of f graph this function from the graph determine the horizontal of f find the inverse of f find the range of f

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: f(X)= e^X+5 +4 find the domain of f graph this function from the graph determine the horizontal of f find the inverse of f find the range of f       Log On


   

Question 244829: f(X)= e^X+5 +4
find the domain of f
graph this function
from the graph determine the horizontal of f
find the inverse of f
find the range of f
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean y=e^(x+5)+4??
There are no bounds on x, so the domain is
(-infinity,infinity)
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+graph%28+300%2C+300%2C+-10%2C+5%2C+-5%2C+10%2C+e%5E%28x%2B5%29%2B4%29+
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I assume you mean horizontal asymptote?
y=4
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To find the inverse, interchange x and y and solve for y.
x=e^(y+5)+4
x-4=e^(y+5)
ln(x-4)=y+5
y_inv=ln(x-4)-5
The graph of y and y_inv (y_inv is not defined for x%3C=4).
+graph%28+300%2C+300%2C+-10%2C+20%2C+-10%2C+20%2C+e%5E%28x%2B5%29%2B4%2C+ln%28x-4%29-5%29+
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The range of f is
(4,infinity)