Question

refer to the functions defined below.
$f(x)=x + 3$\t$h(x)=x^2 + 6$
find the indicated function and simplify if possible.
part: 0 / 2
part 1 of 2
$(f + h)(x)=\square$

Explanation:

Step1: Recall function addition rule

The sum of two functions \((f + h)(x)\) is defined as \(f(x)+h(x)\).

Step2: Substitute the given functions

Substitute \(f(x)=x + 3\) and \(h(x)=x^{2}+6\) into \(f(x)+h(x)\):
\((f + h)(x)=(x + 3)+(x^{2}+6)\)

Step3: Simplify the expression

Combine like terms: \(x^{2}+x+(3 + 6)=x^{2}+x+9\)

Answer:

\(x^{2}+x + 9\)