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# Suppose the domain of f is (-1,1). Define the function g by g(x)=f(x+1).What is the domain of g?

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Suppose the domain of f is (-1,1). Define the function g by g(x)=f(x+1).What is the domain of g?

waffles  Oct 25, 2017

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Since the domain of  f(x)  is  -1 < x < 1  ,

Then the domain of  f(x + 1)  is  -1 < x + 1 < 1 .

-1 < x + 1 < 1   simplifies to

-2 < x < 0

So the domain of  f(x + 1)  is  (-2, 0) ,

And  g(x) = f(x + 1)  so the domain of  g(x)  is  (-2, 0) .

hectictar  Oct 25, 2017
Sort:

#1
+6961
+2

Since the domain of  f(x)  is  -1 < x < 1  ,

Then the domain of  f(x + 1)  is  -1 < x + 1 < 1 .

-1 < x + 1 < 1   simplifies to

-2 < x < 0

So the domain of  f(x + 1)  is  (-2, 0) ,

And  g(x) = f(x + 1)  so the domain of  g(x)  is  (-2, 0) .

hectictar  Oct 25, 2017

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