Find g(f(x)) for f(x)=-3x-6 and g(x)=-1/2x+3 and the slope between points (5, -2) and (0, 2)?

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f(x)=-3x-6

g(x)=(-1/2)x+3

g(f(x))=f(-3x-6)

=(-1/2)(-3x-6)+3

=(3/2)x+3+3

=(3/2)x+6

The slope between points (5, -2) and (0, 2) is

`m=(2+2)/(0-5)`

`=-4/5`

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