If f(x) = 5x^3 and g(x)= x+1 find (f•g)(x)

(f•g)(x) = 5x^3 + 15x^2 + 15x + 5

Step-by-step explanation:

If f(x) = 5x^3 and g(x)= x+1 find (f•g)(x)

(f•g)(x) = (f(g(x))

So

(f(g(x)) = 5(x+1)^3

= 5(x+1)(x+1)^2

= (5x + 5)(x^2 + 2x + 1)

= 5x^3 + 10x^2 + 5x + 5x^2 + 10x + 5

= 5x^3 + 15x^2 + 15x + 5

So

(f•g)(x) = 5x^3 + 15x^2 + 15x + 5

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step-by-step explanation:

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