Given F(x)=2x+5 And G(x)=3x-4, Find (gf)(x) - Wyzant

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Algebra 2 Algebra 2 Help Given f(x)=2x+5 and g(x)=3x-4, find (gf)(x) A) 5x+1 B) 6x^2 - 20 C)6x^2 + 7x -20 D) 6x^2 +23x+20 Follow • 2 Add comment More Report

1 Expert Answer

Best Newest Oldest By: Best Newest Oldest The notation is a little sketchy, but I think you mean f(x)*g(x), right? We'll use the substitution property of equality. This states that for any x and y, if x = y, then we can use y in place of x, or x in place of y as needed. Since f(x) = 2x + 5, we can replace f(x) with 2x + 5. We can also replace g(x) with 3x - 4. To find f(x) * g(x), make the necessary replacements: f(x) * g(x) =(2x + 5)*(3x-4). Now FOIL it out: =6x2 -8x + 15x - 20 =6x2 + 7x - 20. Upvote • 0 Downvote Add comment More Report

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