Given f(x)=2x+2−xf(x) = 2^x + 2^{-x}f(x)=2x+2−x for x≥0x \geq 0x≥0, find the inverse function f−1(x)f^{-1}(x)f−1(x).
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+x2−4)f^{-1}(x) = \ln(x + \sqrt{x^2-4})f−1(x)=ln(x+x2−4)
f−1(x)=log2(x)f^{-1}(x) = \log_2(x)f−1(x)=log2(x)