100 POINTS!!! VERY URGENT
2 answers:
Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
Answer:

Step-by-step explanation:

![\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%20%5Ccirc%20g%29%28x%29%20%26%20%3D%20f%5Bg%28x%29%5D%5C%5C%20%26%20%3D%20f%28x-3%29%5C%5C%26%20%3D%2010%28x-3%29%5E2%2B3%5C%5C%26%20%3D%2010%28x%5E2-6x%2B9%29%2B3%5C%5C%26%20%3D%2010x%5E2-60x%2B90%2B3%5C%5C%26%20%3D%2010x%5E2-60x%2B93%5C%5C%5Cend%7Baligned%7D)
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