f(x) = 2x - 5 and g(x) =x+2

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The question doesn’t ask for anything so I have to guess what you want.

f of g=f(g(x))=2g(x)-5=2(x+2)-5=2x+4-5=2x-1.

g of f=g(f(x))=f(x)+2=2x-5+2=2x-3.

f+g=2x-5+x+2=3x-3.

f-g=2x-5-x-2=x-7.

g-f=7-x.

fg=(2x-5)(x+2)=2x²-x-10.

f/g=(2x-5)/(x+2).

g/f=(x+2)/(2x-5). 

f(x)=g(x), when 2x-5=x+2, x=7. So f(x)=g(x)=9..

They intersect at (7,9).

 

 

 

    

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