Question

given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below: f(x)=6x + 3 g(x)=x - 7 17 4 25 31

Explanation:

Step1: Recall function - sum formula

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

Step2: Substitute $x = 3$

$(f + g)(3)=f(3)+g(3)$

Step3: Calculate $f(3)$

$f(3)=6\times3 + 3=18 + 3=21$

Step4: Calculate $g(3)$

$g(3)=3-7=-4$

Step5: Calculate $(f + g)(3)$

$(f + g)(3)=f(3)+g(3)=21+( - 4)=17$

Answer:

17