Question

Find the f ∘ g and g ∘ ݂ and also check whether f ∘ g = g ∘ ݂ 1. F(x) = 5x + 2 g(x) = x2 – 1F(x) = 5x + 2 g(x) = x2 – 1​

Answer 1

Answer:

(f+g)(x) is shorthand notation for f(x)+g(x) .  

So (f+g)(x) means that you add the functions f and g

(f-g)(x) simply means f(x)-g(x).

So in this case, you subtract the functions.

(f * g)(x)=f(x) * g(x).

So this time you are multiplying the functions

and finally, (f/g)(x)=f(x)/g(x). Now you are dividing the functions.

Hope it helped you! Thank you!