1. The problem asks to select all functions whose inverses are also functions. 2. A function has an inverse that is also a function if and only if it is one-to-one (passes the horizontal line test). 3. Checking each function: a. $j(x)=\frac{2-3x}{5-x}$ is one-to-one. b. $m(x)=2x^4-32$ is not one-to-one (even power). c. $g(x)=7-5x$ is one-to-one. d. $n(x)=5x^2-1007$ is not one-to-one (even power). e. $f(x)=5x$ is one-to-one. f. $h(x)=5$ is constant, not one-to-one. g. $k(x)=\sqrt{2x-3}+5$ is not one-to-one (square root domain but not strictly one-to-one over all reals). h. $l(x)=x^2-10x+25$ is not one-to-one (quadratic). Selected functions: a, c, e