Question

The function h(x) = x squared+3 and g(x) = x squared-6. if g(x)=h(x)+k what is the value of k

Answer 1

Answer:

k=-9

Step-by-step explanation:

The given functions are

$h(x) = {x}^{2} + 3$

and

$g(x) = {x}^{2} - 6$

We want to find the value of k, for which

$g(x) = h(x) + k$

This means we need to extract g(x) from f(x) to get:

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

Or

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

$g(x) =h(x)+ - 9$

Therefore k=-9