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kotykmax [81]
3 years ago
6

Let f(x) = x2 + 6 and g(x) = x + 8x . Find ( g o f)(­ -7)

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer: (gof)(-7) =495

Step-by-step explanation:

Given the functions f(x) and g(x), to find (gof)(x) you need to substitute x=f(x)=x^2 + 6 into the function g(x):

(gof)(x) = ( x^2 + 6)+ 8( x^2 + 6)\\\\(gof)(x)=x^2 + 6+ 8x^2 + 48\\\\(gof)(x)=9x^2 + 54

Now, to find  (gof)(-7) you must substitute x=-7 into (gof)(x), then you get:

(gof)(-7) = 9(-7)^2 + 54\\\\(gof)(-7) =9(49)+54\\\\(gof)(-7) =441+54\\\\(gof)(-7) =495

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