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Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8 g(x) = x + 9 2,052 98 190 198

Respuesta :

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ANSWER
[tex]f(g(10)) = 198[/tex]

EXPLANATION

The given functions are;

[tex]f(x) = 10x + 8[/tex]
and

[tex]g(x) = x + 9[/tex]


To find
[tex]f(g(10))[/tex]
we need to find

[tex]f(g(x)) = f(x + 9)[/tex]


[tex]f(g(x)) =10(x + 9) + 8[/tex]



[tex]f(g(x)) =10x + 90 + 8[/tex]


[tex]f(g(x)) =10x + 98[/tex]



[tex]f(g(10)) = 10(10) + 98[/tex]


[tex]f(g(10)) = 100 + 98[/tex]


[tex]f(g(10)) = 198[/tex]


The last option is the correct answer

Answer:

f(g(10)) = 198

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