Question

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

Answer 1

The value of k is -9

Explanation:

Subsitute

g(x)=h(x)+k

`(x^2-6)=(x^2+3)+k`

`x^2-6=x^2+3+k`

subtract
`x^2+3` from both sides (or add
`-x^2-3` to both sides)

`-9=k`

`k=-9`