Question

Let h(x)=x+6 and g(x)=x^2-4x+2

Find h(x)* g(x)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find h(x) * g(x), we need to multiply the two functions together.

First, let's write out the function for h(x): h(x) = x + 6
Next, let's write out the function for g(x): g(x) = x^2 - 4x + 2

Now, to find h(x) * g(x), we multiply the two functions together:

h(x) * g(x) = (x + 6)(x^2 - 4x + 2)

To simplify, we can use the distributive property:

h(x) * g(x) = x(x^2 - 4x + 2) + 6(x^2 - 4x + 2)

Multiplying these terms out gives:

h(x) * g(x) = x^3 - 4x^2 + 2x + 6x^2 - 24x + 12

Combining like terms gives:

h(x) * g(x) = x^3 + (6x^2 - 4x^2) + (2x - 24x) + 12

Simplifying further, we combine like terms:

h(x) * g(x) = x^3 + 2x^2 - 22x + 12

Therefore, h(x) * g(x) = x^3 + 2x^2 - 22x + 12