Mathematics, 31.01.2020 07:52 eboniwiley
1. let f(x) = 4x-3/x-10 and g(x) = 2x-8/x-10. find (f+g)(x). assume all appropriate restrictions to the domain.
a) (f+g)(x) = 6x-11/x-10
b) (f+g)(x) = 2x+5/x-10
c) (f+g)(x) = 6x+11/x-10
d) (f+g)(x) = 6x-11/2x-20
2. find the domain of the function (f/g)(x) where f(x)=xΒ²-9 and g(x)=xΒ²-4x+3.
a) (-β,β)
b) (-β,1) u (1, β)
c) (-β,1) u (1,3) u (3, β)
d) (-β,-3) u (-3,-1) u (-1, β)
3. let f(x) = βx-2 and g(x) = βx+7. find (f*g)(x). assume all appropriate restrictions to the domain.
a) (f*g)(x) = x^2+5x-14
b) (f*g)(x) = x^2+9x-14
c) (f*g)(x) = βxΒ²+9x-14
d) (f*g)(x) = βxΒ²+5x-14
4. determine the graph of (f-g)(x) when f(x) = 1/x and g(x) = βx.
5. find the range of (f+g)(x) when f(x)=(x+4)Β² and g(x)=3.
a) (-β,β)
b) [3, β)
c) (-β, -3)
d) [-3, β)
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