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

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4 votes

Answer:

The value of
k is -9.

Explanation:

Let
g(x) = x^(2)-6, we proceed to manipulate the expression algebraically to derive an expression equivalent to
g(x) = h(x) + k, where
h(x) = x^(2)+3.


g(x) = x^(2)+[(-9)+3] Definition of subtraction.


g(x) = (x^(2)+3)+(-9) Commutative and associative properties.


g(x) = h(x) +(-9)
h(x) = x^(2)+3/Result

We notice that value of
k is -9.

User Bartley
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