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

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

Answer 2

Value of g(f(-2)) is equals to 7.

What is composition function?

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

⇒ g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

Learn more about composition function here

https://brainly.com/question/20379727

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