Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below: (1 point) f(x) = 2x + 21 g(x) = x − 24 −27 −21 6 48

Hello!

here we got two functions, f(x) = 2x + 21, and g(x) = x -24, and we want to solve (f+g)(3).

the notation (f + g)(x) refers to the addition of both functions evaluated in the point x.

(f + g)(x) = f(x) + g(x) = (2x + 21) + (x - 24) = (2x + x) + (21 - 24) = 3x - 3

then, when x = 3 we have (f + g)(x) = 3*3 - 3 = 9 - 3 = 6

so the correct answer is the third one.

is the same as replacing x by 3 in both functions, and after that do the sum between them.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl