4 Use the graphs of fand g to answer each of the following f

4. Use the graphs of fand g to answer each of the following: f(x) 2-2 f(3) + g(-2) The domain of f The range of g 5. One\'s IOvaries diratly as thair mental age and inversely as their chronological

Solution

1)f(3) +g(-2) =6+1=7

(fog)(0) =f(g(0))=f(-1)=-1

domain of f is (-infinity,infinity)

range of g =[-3,1]

2)f(x)=5/(x+4)

function is undefined if denominator =0

x+4 =0

x =-4

domain is (-infinity,-4)U(4,infinity)

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3) slope of line passing through (p,q),(r,s) is (s-q)/(r-p)

slope of line passing through (a-b,c),(a,a+c) is (a+c-c)/(a- a+b) =a/b

4)slope of line passing through (p,q),(r,s) is (s-q)/(r-p)

slope of line passing through (-2,y),(4,-4) is (-4-y)/(4+2) =1/3

(-4-y)/6 =1/3

-4-y=6/3

-4-y=2

y=-4-2

y=-6