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N76 [4]
3 years ago
10

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).​

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer:

<h2>7</h2>

Step-by-step explanation:

f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\

To find f(-2) , Substitute -2 for x in the given equation ;

f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2

To find g(f(-2)) ;

g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\

To find g(2) , substitute 2 for x in the given equation

g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7

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