f(x)=10x-9 g(x)=-16x^2+x-11 find g(f(x))

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f(x)=10x-9 g(x)=-16x^2+x-11 find g(f(x))

Mathematics
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f(x) = 10x-9 g(x) = -16x^2 + x - 11 g(f(x)) = g(10x-9) = -16(10x-9)^2 + (10x-9) - 11 = -16(100x^2-180x + 81) + 10x - 9 - 11 = -1600x^2 + 2880x - 1296 + 10x - 20 = -1600x^2 + 2890x - 1316 Whew!
So g(f(x)) = -1600x^2 + 2890x - 1316
It's a little messy this time, but same concept

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you just plug f(x)=10x-9 into the g(x) and combine?
Yes
THANK YOU SO MUCH
You're a good student. If only others could understand me so quickly. Usually, I would have to go on a long tedious journey (without knowing whether or not I'll reach the desired destination) to explain things. But you are clearly a quick learner.
hahah thanks (: i'm a visual/hands-on learner so once i see someone do it and practice once i'm usually good (: thank you so much ! you just saved a section of my exam grade. hahah
:D Glad to assist

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