Evaluate the difference quotient for the given function. Simplify your answer. f ( x ) = f(x) - f(a) X X - aFind the domain of the function. (Enter your answer using interval notation.) h (x) = 4 x2 - 6XConsider the following. f (x ) = X X + 2 9 (x) - 9X - 2 (a) Find the function (f o g)(x). 9x - 2 (fog) ( x) = 9x Find the domain of (f o g)(x). (Enter your answer using interval notation. ) (-00, 0) U (0,00) (b) Find the function (g o f)(x). (go f) ( x ) = Find the domain of (g o f)(x). (Enter your answer using interval notation.) (c) Find the function (fo f) (x). ( fo f) ( x ) = Find the domain of (fo f)(x). (Enter your answer using interval notation. ) (d) Find the function (g o g)(x).Find the domain of (f o g)(x). (Enter your answer using interval notation.) (-00, 0 ) U (0,00 ) (b) Find the function (g o f)(x). (go f) ( x ) = X Find the domain of (go f)(x). (Enter your answer using interval notation. ) (c) Find the function (fo f) (x). ( fo f) ( x ) = Find the domain of (f o f)(x). (Enter your answer using interval notation.) (d) Find the function (g o g)(x). (go g) (x) = Find the domain of (g o g)(x). (Enter your answer using interval notation.)Use the Laws of Exponents to rewrite and simplify each expression. (a) 5 /320 (b) 642/3 16 (c) 2x2 (3x9) 2 X (d) (2x-2) -3x-3 X (e) 725/2 . 21/2 a -1 794 (f ) Vavb Vab