Let f(x) = x + 2 and g(x) = x2 find ( g o ­5)

(g o f)(-5)= 9

Step-by-step explanation:

Given :

To Find : (g o f )(-5)

Solution :

We are supposed to find the value of  (g o f )(-5)

So, first understand that  (g o f )(x) means g(f(x))

Now putting value of x :

(g o f )(x) =g(f(x))

⇒(g o f)(-5)= g(f(-5)) --(a)

Now for solving further we need to find value of f(-5)

Since we are given that

⇒

⇒

Now put this value in (a)

⇒(g o f)(-5)= g(-3)  ----(b)

Now we need to calculate the value of g(-3)

Since we are given that

⇒

⇒

now put this value in (b)

⇒(g o f)(-5)= 9

Hence , (g o f)(-5)= 9

u rich

step-by-step explanation: