If f(x) = 2x-3 and g(x) = x+1 find fog(3) and gof(-2)?

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f(x) = 2x-3

g(x) = x+1

 

`f_og(3)` means that we get the value of f(x) when x = g(3)


g(x) = x+1

g(3) = 3+1 = 4

 

`f_og(3) ` = f(4) = 2(4)-3 = 5

 

`g_of(-2)` means that we get the value of g(x) when x = f(-2)

f(x) = 2x-3

f(-2) = 2*-2-3 = -7

 

`g_of(-2) ` = g(-7) = -7+1 = -6

 

Therefore;

`f_og(3) = 5`

`g_of(-2) = -6`

 

 

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salonigaba | Student

hi,

fog(3)=5

gof(-2)=-6

check Approved by eNotes Editorial