Question

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

i am so confused and i really need this answer soon someone please help

Answer 1

k=-9

Step-by-step explanation

The given function is

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

and

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

We want to rewrite g(x) in terms of f(x).

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

This implies that,

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

When we compare, we realize that

`k = - 9`