Respuesta :

f(x)=2x+1
g(x)= x²-7, 
f o g(x)=2(x²-7)+1=2x²-14+1=2x²-13
f o g(2)=2*2²-13=8-13=-5

or
g(2)=4-7=-3
f o g(2)=2*(-3)+1=-5

Answer:

-5

Step-by-step explanation:

Given functions,

[tex]f(x) =2x+1-----(1)[/tex]

[tex]g(x)= x^2-7-----(2)[/tex]

[tex]fog(x)=f(g(x))[/tex]

[tex]=f(x^2-7)[/tex]           ( From equation (2) )

[tex]=2(x^2-7)+1[/tex]       ( From equation (1) )

[tex]=2x^2-14+1[/tex]

[tex]=2x^2-13[/tex]

Hence,

[tex]fog(2) = 2(2)^2-13=8-13=-5[/tex]

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