Question

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

Explanation:

Step1: Recall function - addition rule

$(f + g)(x)=f(x)+g(x)$. So, $(f + g)(3)=f(3)+g(3)$.

Step2: Calculate $f(3)$

Substitute $x = 3$ into $f(x)=2x + 21$. Then $f(3)=2\times3+21=6 + 21=27$.

Step3: Calculate $g(3)$

Substitute $x = 3$ into $g(x)=x - 24$. Then $g(3)=3-24=-21$.

Step4: Calculate $(f + g)(3)$

$(f + g)(3)=f(3)+g(3)=27+( - 21)=27 - 21 = 6$.

Answer:

6