Question

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

Answer 1

`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, if

g(x)=h(x)+k

We need to rewrite g(x) in terms of h(x)

`{x}^(2) - 6 = {x}^(2) + 3 - 9`

Thus,

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

This implies that

k=-9