Question

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

Answer 1

Answer:

7

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

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