Question

The function h(x)=x^2+3 and g(x)=x^2-6. If g(x)=h(x)+k, what is the values of k?

Answer 1

Answer:

The value of $k$ is -9.

Step-by-step explanation:

Let $g(x) = x^{2}-6$, we proceed to manipulate the expression algebraically to derive an expression equivalent to $g(x) = h(x) + k$, where $h(x) = x^{2}+3$.

$g(x) = x^{2}+[(-9)+3]$ Definition of subtraction.

$g(x) = (x^{2}+3)+(-9)$ Commutative and associative properties.

$g(x) = h(x) +(-9)$   $h(x) = x^{2}+3$/Result

We notice that value of $k$ is -9.