x+1 For the function f(x) ,evaluate and simplify the following: x2 + 3 (c) f(x² + 3) (4) fG 1) (a) f(–1) (b) f(2a) State and use the appropriate formulae, find the sum of the odd numbers from 1 to...

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Extracted text: x+1 For the function f(x) ,evaluate and simplify the following: x2 + 3 (c) f(x² + 3) (4) fG 1) (a) f(–1) (b) f(2a) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199, inclusive. For the functions f(x) = 3x – 4 and g(x) = x+ 2, find the following and determine the domain in each case: (a) g(() (b) fg For the functions f(x) = vx – 3 and g(x) = vx+2, find and determine the domain in each case: (a) gf (b) f+g 3 3 For the functions f(x) and g(x) =+4, find f(g(x)) and g(f(x)), hence or х — 4 otherwise determine whether g(x) is the inverse of f(x). (a) Using the remainder theorem, determine whether (x – 4) and (x – 1) are factors of the expression x³ + 3 x2 – 22 x – 24. (b) Hence, by use of long divison, find all remaining factors of the expression.