# Math (Pre cal)

Can someone show me how to do this?

let f(x)=x^2+3x-1 and g(x)=x^3+4x^2+1

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1. do what?

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2. Its a unit in algebra of functions and i dont know how to solve it

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3. But you did not say what you want to do with the two functions
multiply them ?

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4. another idea might be composition.

(f◦g)(x) = f(g) = g^2+3g-1
= (x^3+4x^2+1)^2+3(x^3+4x^2+1)-1
= x^6+8x^5+16x^4+5x^3+20x^2+3

(g◦f)(x) = g(f) = f^3+4f^2+1
= (x^2+3x-1)^3+4(x^2+3x-1)^2+1
= x^6+9x^5+28x^4+33x^3+4x^2-15x+4

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5. I was afraid it might be that :)

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