Consider the following functions. f(x)=3x^2+x+2 g(x)=4x^2+2(3x−4) h(x)=5(x^2−1) Find f(x) - g(x).

Khadija Wells

Khadija Wells

Answered question

2021-02-21

Consider the following functions.
f(x)=3x2+x+2
g(x)=4x2+2(3x4)
h(x)=5(x21)
Find f(x) - g(x).

Answer & Explanation

Dora

Dora

Skilled2021-02-22Added 98 answers

This works exactly like you might expect. We just substitute in the expressions for f(x) and g(x) and then simplify.
f(x)g(x)=3x2+x+2[4x2+2(3x4)]=3x2+x+24x22(3x4)=3x2+x+24x26x+8
Now that you see how to substitute in the expressions and expand them, all that's left is to combine like terms. I think you can take it from here. Let me know in the comments if you get stuck. Good luck!

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