SOLUTION: Suppose the function f(x)=2^(x+1). (a) Draw the graph of f(x)=2^(x+1) for -2≤x≤2.Hence obtain the graph of g(x)=f(x+2) from the graph of f(x).Draw the graph of g(x) on

Algebra ->  Rational-functions -> SOLUTION: Suppose the function f(x)=2^(x+1). (a) Draw the graph of f(x)=2^(x+1) for -2≤x≤2.Hence obtain the graph of g(x)=f(x+2) from the graph of f(x).Draw the graph of g(x) on      Log On


   

Question 1084915: Suppose the function f(x)=2^(x+1).
(a) Draw the graph of f(x)=2^(x+1) for -2≤x≤2.Hence obtain the graph of g(x)=f(x+2) from the graph of f(x).Draw the graph of g(x) on the same coordinate axes.
(b) Find the inverse of f(x)=2^(x+1) and draw its graph.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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g%28x%29=2%5E%28x%2B1%2B2%29=2%5E%28x%2B3%29
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y=2%5E%28x%2B1%29
Interchange x and y and solve for y.
x=2%5E%28y%2B1%29
log%282%2C%28x%29%29=y%2B1
y=log%282%2C%28x%29%29-1
y=log%28%28x%29%29%2Flog%28%282%29%29-1
f%5E%28-1%29=log%28%28x%29%29%2Flog%28%282%29%29-1
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