Question

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

Answer 1

Answer:

Let f(x) and g(x) be the function then;

$(f+g)(x) = f(x)+g(x)$

Given the functions:

$f(x) = 2x+21$

$g(x) = x-24$

Solve for : $(f+g)(3)$

$(f+g)(3) = f(3)+g(3)$           .....[1]

Put x = 3 in f(x) and g(x) we have;

$f(3) = 2(3)+21 = 6+21 = 27$

and

$g(3) = 3-24 = -21$

Substitute these values in [1] we have;

$(f+g)(3) =27 +(-21) = 27-21 = 6$  

Therefore, the value of $(f+g)(3)$  is 6

Answer 2

(f+g)(x) = 2x+21 +x-24 = 3x -3 now put x=3 in order to find (f+g)(3) (f+g)(3) = 3(3) -3 = 9-3 = 6, i hope this helps