Question

Find the domain and range of the function f(x)=(2^x - 2^-x)/(2^x + 2^-x)

Answer 1

Step-by-step explanation:

Given:

f(x) = (x - 2)/(2 - x) * D * o * m * a * i * n n(f) :

Clearly, f(x) is defined for all x

satisfying: if 2-x ne0 Rightarrow x ne2

Hence, domain (f)=R-\ 2\

Range of f:

Let f(x) = y Rightarrow x-2 2-x =y

Rightarrow x-2=y(2-x)

Rightarrow x-2=-y(x-2)

Rightarrow y=-1

Hence, range (f)=\ -1\ .

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