Need help with pre calculus

Question

If f(x)=x^2 and g(x)= 4x-5, what is

a. (f+g)(x)

b.(fg)(x)

c. (f ∘ g)(x)

Answer 1

Hi Emma. So, for part (a) you're just going to add the two equations together: f(x)+g(x) = x^2+4x-5.

Similarly, for part (b) you're just going to multiply the two equations together: x^2(4x-5). You can use the distributive property to simplify that.

For part (c), you're going to "plug" g(x) into f(x). In other words, f(whatever)= (whatever)^2 =====> so f(g(x))= f(4x-5)= (4x-5)^2. You can simplify that if you want; just remember (4x-5)^2 = (4x-5)(4x-5) and then FOIL it.

I hope this answers your questions Emma. Please feel free to ask if you have any more!