Determine whether or not the given function is one-to-one and, if so, find the inverse. If f(x)=(−4x+7)^4 has an inverse, give the domain of f^−1.
a) f^−1(x)=(7−x^(1/4))/4; domain: (0,[infinity])
b) f^−1(x)=(7+4x)^(1/4); domain: (−[infinity],7/4)
c) Not one-to-one
d) f^−1(x)=(x^(1/4)−7)/4; domain: (−[infinity],[infinity])
e) f^−1(x)=(7−x^(1/4))/4; domain: (7/4,[infinity])