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Janu16
 one year ago
Let f(x) = 3x^2 – x + 2 and g(x) = 5x^2 – 1. Find f(g(x)). Show each step of your work.
Janu16
 one year ago
Let f(x) = 3x^2 – x + 2 and g(x) = 5x^2 – 1. Find f(g(x)). Show each step of your work.

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0\( g(x) = 5x^2 – 1\) \(f(x) = 3x^2 – x + 2\) \(f[g(x)] = f(5x^2 – 1) = 3[5x^2 – 1]^2 – [5x^2 – 1] + 2 \) this what you meant?? hope it helps :p

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf f(x)=3x^2x+2\qquad g(x)={\color{brown}{ 5x^21 }} \\ \quad \\ f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ g(x)}})^2({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ 5x^21}})^2({\color{brown}{ 5x^21}})+2\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0just distribute and simplify, sure

Janu16
 one year ago
Best ResponseYou've already chosen the best response.025x^23x^2+25x^23^2+2?

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0hmm, notice, the 1st term has an squared binomial you need to expand that one first

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ 5x^21}})^2({\color{brown}{ 5x^21}})+2 \\ \quad \\ f(g(x))=3x({\color{brown}{ 25x^410x^2+1}})5x^2+1+2\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf (5x^21)^2\iff (5x^21)(5x^21)\implies (25x^410x^2+1)\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0you can FOIL if you want
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