Find Fogoh F(x)=5x-7, G(x)=x^2, H(x)=7-x - Wyzant

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Calculus find fogoh f(x)=5x-7, g(x)=x^2, h(x)=7-x I have been trying to solve this problem, I keep coming up with 8x^2 +5x +42, can I get help, thanks Follow • 3 Add comment More Report

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Best Newest Oldest By: Best Newest Oldest fºgºh is the same as saying f(g(h(x))). So start by plugging the result of h into the rule for g: g(x)=x2,so g(h(x)) = (h(x))2 So g(h(x)) = (7-x)2 Now take f() of that. f(x) = 5x-7 so f(g(h(x))) is 5((7-x)2) - 7 That is equal to 5(49 -14x + x2) - 7= 245 - 70x + 5x2 - 7 = 238 - 70x + 5x2 or... 5x2 - 70x + 238 Upvote • 0 Downvote Add comment More Report f(x) = 5x - 7 g(x) = x2 h(x) = 7 - x g o h(x) = (7 - x)2 f o g o h = 5(7 - x)2 - 7 f o g o h = 5(49 - 14x + x2) - 7 f o g o h = 5x2 - 70x + 245 - 7 f o g o h = 5x2 - 70x + 238 Upvote • 0 Downvote Add comment More Report

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