Function g(x) and h(x)

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

Hi, Martha,

This problem is easier than it looks. Let's just write an equation based on the given information. If g(x) = h(x) + k, then

x²-6 = x²+3 + k

OK so far?

Now, just solve for k.

-6 = 3 + k (subtracting x² from both sides)

-9 = k (subtracting 3 from both sides)

Best wishes!