Question

how do i calculate this

if f(x)= 3x+1 and g(x)=x+2

find (fg)(x)and calculate (fg)(2) is this multiplication and if so what do i do first any help would be appreciated

Answer 1

(f+g) just means to add f and g. Since they're both functions of x, that's why the unfamiliar notation.

(f+g)(x) = f(x)+g(x) = (3x+1)+(x+2) = 4x+3
so, (f+g)(1) = 4(1)+3 = 7
or, you could evaluate f(1)+g(1) = 4+3