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Question

If f(x) = x^2 + 7x and g(x) = 3x - 1, what is f(g(x))?
O 9x2 + x + 1
9x2 + 15x - 6
9x2 + 21x-6
9x2 - 27x
Help please

User Fela
by
4.6k points

1 Answer

11 votes

Answer:

9x^2 + 15x -6

Explanation:

Your problem → If f(x) = x^2 + 7x and g(x) = 3x - 1, find f(g(x))?

f(x)=x2+7x,g(x)=3x-1,fog(x)=?

g(x)=3x-1,f(x)=x2+7x

fog(x)=f(g(x))

=f(3x-1)

=(3x-1)2+7⋅(3x-1)

=(3x-1)2+21x-7

=(9x2-6x+1)+21x-7

=9x2+15x-6

fog(x)=9x2+15x-6

User Jorgeh
by
4.9k points