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mojhsa [17]
3 years ago
13

Given f(x) = e^x and g(x) = x – 2, what is the range of (g*f)(x)

Mathematics
1 answer:
frutty [35]3 years ago
4 0

For this case we have the following functions:

f (x) = e ^ x\\g (x) = x-2

By definition we have to:

(f * g) (x) = f (x) * g (x)

Substituting:

(f * g) (x) = e ^ x (x-2)

The range of the function is given by all values of "and" valid. That is, all the real numbers.

ANswer:

(-∞,∞)

Graphic attached

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