KayG12
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1.Giving brainliest!! Given f(x)=10x+5 and g(x)=3x+6

then what is (f+g)(−1))? 2. Given f(x)=6x+6 and g(x)=5x+9

then what is f(g(2))?

Respuesta :

recall, f plus g of x is equal to f of x plus g of x
[tex](f+g)(x) = f(x)+g(x)[/tex]

[tex](f+g)(x)=10x+5 + 3x+6 = 13x + 11[/tex]
[tex](f+g)(-1) = 13(-1)+11=-2[/tex]


recall the nested composite functions, f of g of x, the input for function f, is the result of function g(x)

[tex]f(x)=6x+6[/tex]
[tex]f(g(x))=f(5x+9)=6(5x+9)+6 = 30x + 60[/tex]
[tex]f(g(2))=30(2)+60=120[/tex]

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