SOLUTION: I have no idea how to find the domain and range of the following:
note: x is the exponent of e
f(x)= 2e^x+1
And also, I have to solve the following equatio
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Question 32512: I have no idea how to find the domain and range of the following:
note: x is the exponent of e
f(x)= 2e^x+1
And also, I have to solve the following equation for x:
note: the x2 is x squared
9^x2=1/81
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
f(x)= 2e^x+1
The domain is: "What values can x have?" Also, the same value for x
can't give me 2 different values for y.
X can be any real value and I still get a single real value for y
So the domain is:
minus infinity < x < plus infinity
------------------------------------
The range is: "What are the real values of y for each real value of x?"
Y can never be negative because there's
no way to make e^x negative
Also, when x is a very large negative number
2e^x approaches zero and 2e^x + 1 approaches 1.
So the range of f(x) is:
+1 < f(x) < plus infinity
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