Find the inverse of f(x)=2x+2−xf(x) = 2^{x} + 2^{-x}f(x)=2x+2−x for x≥0x \geq 0x≥0.
f−1(x)=log2(x+x2−4)f^{-1}(x) = \log_2(x + \sqrt{x^2 - 4})f−1(x)=log2(x+x2−4)
f−1(x)=log2(x+x2−42)f^{-1}(x) = \log_2(\frac{x + \sqrt{x^2 - 4}}{2})f−1(x)=log2(2x+x2−4)
f−1(x)=ln(x+x2−1)f^{-1}(x) = \ln(x + \sqrt{x^2 - 1})f−1(x)=ln(x+x2−1)
f−1(x)=x−2f^{-1}(x) = \sqrt{x-2}f−1(x)=x−2