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Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...

Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4).

(a) Find (fog)(x)(fog)(x) and its domain using the interval notation.

(b) Find the inverse of the function ff.

(c) Find the function g/kg/k and its domain using the interval notation.

(d) Simplify the expression [k(x+h)−k(x)]/h[k(x+h)−k(x)]/h.  

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