math 30-1 #6 ans NR #3

6. If f(x) =-3 x+ 7 and g (x) = x + 2, find g(f(x)) and state the restrictions on the variable. A. 8 (f ( x) ) = *, x * 0 B. 8 (f (x) ) = 3 X , * * 3 C. 8 (f (x) ) = 2x+7 * + 2 , * * - 2 D. 8 (f (x) ) = 2x+5 x + 2 , * *-2 Hint: Replace x in g(x) with f(x). Recall variable restrictions are determined by non-permissible values. A denominator cannot equal zero. Numerical Response 3. Given f(x) = x2 + 2 and g(x) =- x - 1, find (fog)(5). Hint: This is a composition of functions