1) Find the domain of this function: 3/(x2-2x-15) a) x=5,-3 b) x=-5,3 c) x=(-∾,∾) d) x=(-5,-3) 2) Find the domain of this function: x2+x-12 a) x=(-4,3) b) x=(-4,-3) c) x=(4,-3) d) x=(-∾,∾) 3) Find the domain of this function: 3(x+5) a) x=-5 b) x=(-∾,∾) c) x=5 d) x=5/3 4) Find the domain of this function: 7/(x2-4x-77) a) x=(-∾,∾) b) x=11,-7 c) x=-11,-7 d) x=11,7 5) Find the domain of this function: √(2x-14) a) x≥7 b) x=(-∾,∾) c) x≤7 d) x<-7 6) Find the domain of this function: √(35-5x) a) x=(-∾,∾) b) x≤7 c) x≥7 d) x=7 7) Find (f+g) if f(x)=2x-3 and g(x)=x-1 a) f(x)+g(x)=2x-1 b) f(x)+g(x)=2x-2 c) f(x)+g(x)=2x+5 d) f(x)+g(x)=2x+5 8) Find (f-g) if f(x)=2x-3 and g(x)=x-1 a) f(x)-g(x)=2x-4 b) f(x)-g(x)=2x-5 c) f(x)-g(x)=2x-1 d) None of the others 9) Find (f*g) if f(x)=2x-3 and g(x)=x-1 a) (f*g)=2x2-x-3 b) (f*g)=x2-3x+3 c) (f*g)=x2-5x-3 d) (f*g)=2x2+-x-3 10) Find (f∘g)(x) with f(x)=x+4 and g(x)=2x+1 a) (f∘g)(x)=2x+5 b) (f∘g)(x)=2x+1 11) Find (g∘f)(x) with f(x)=x+4 and g(x)=2x+1 a) (g∘f)(x)=2x+5 b) (g∘f)(x)=2x+9 12) What is the (g∘f)(2) with f(x)=x+4 and g(x)=2x+1 a) (g∘f)(2)=13 b) (g∘f)(2)=9 13) Find (f∘g)(x) with f(x)=4x and g(x)=x+9 a) (f∘g)(x)=4x+36 b) (f∘g)(x)=4x+9 14) Find (g∘f)(x) with f(x)=4x and g(x)=x+9 a) (g∘f)(x)=4x+9 b) (g∘f)(x)=4x 15) What is the (g∘f)(2) with f(x)=x+4 and g(x)=2x+1 a) 17 b) 1 16) Find (f∘g)(x) with f(x)=4-x and g(x)=2x2+x+5 a) (f∘g)(x)=(-1+i√(7))/4, (-1-i√(7))/4 b) (f∘g)(x)=(1-i√(7))/4, (1+i√(7))/4 17) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=(3x-1)4 a) f(x)=3x-1 g(x)=x4 b) f(x)=x4 g(x)=3x-1 18) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=∛(x2-9) a) f(x)=x2-9 g(x)=∛(x) b) f(x)=∛(x) g(x)=x2-9 19) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=1/(2x-3) a) f(x)=1/x g(x)=2x-3 b) f(x)=2x-3 g(x)=1/x 20) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=|3x-4| a) f(x)=3x-4 g(x)=|x| b) f(x)=|x| g(x)=3x-4 21) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=|3x+5| a) f(x)=3x+5 g(x)=|x| b) f(x)=|x| g(x)=3x+5 22) Express the given function H as a composition of two function f(x) and g(x) so that h(x)=(f∘g)(x) H(x)=(5x+9)2 a) f(x)=5x+9 g(x)=xe b) f(x)=x2 g(x)=5x+9

2.6 Practice Problems

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