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All right, this video is going to continue looking at compositions of functions.
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We are given f of x equals 2x squared plus 1, and g of x equals 3x plus 5, and we're going to evaluate or find the composite function as indicated.
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And we are told to find f of g of x.
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So we're going to write this as our f of x function compose with g.
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So we're going to start writing our f of x function.
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Write this in green.
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We have two, and then we have this x.
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That's where we're going to replace our x with our g of x function, and our g of x function is 3x plus 5.
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3x plus 5.
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And since x is squared, this whole quantity is going to be squared...