Question

the function g is defined by $g(x)=3x + 5$. find $g(x + 3)$. $g(x + 3)=square$

Explanation:

Step1: Substitute $x+3$ into $g(x)$

Replace $x$ with $x+3$ in $g(x)=3x+5$, so $g(x+3)=3(x+3)+5$

Step2: Expand the expression

Distribute the 3: $3(x+3)=3x+9$, so $g(x+3)=3x+9+5$

Step3: Combine like terms

Add the constant terms: $9+5=14$, so $g(x+3)=3x+14$

Answer:

$3x+14$