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anonymous
 one year ago
If f(x) = x + 4 and g(x) = 2x  3, find (g  f)(2).
Write the answer as an integer.
anonymous
 one year ago
If f(x) = x + 4 and g(x) = 2x  3, find (g  f)(2). Write the answer as an integer.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0by definition we can write: \[\left( {g  f} \right)\left( x \right) = g\left( x \right)  f\left( x \right) = \left( {2x  3} \right)  \left( {x + 4} \right) = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\begin{gathered} \left( {g  f} \right)\left( x \right) = g\left( x \right)  f\left( x \right) = \left( {2x  3} \right)  \left( {x + 4} \right) = \hfill \\ \hfill \\ = 2x  3  x  4 = ...? \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0I got a different result

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\begin{gathered} \left( {g  f} \right)\left( x \right) = g\left( x \right)  f\left( x \right) = \left( {2x  3} \right)  \left( {x + 4} \right) = \hfill \\ \hfill \\ = 2x  3  x  4 = x  7 \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0now, replace x with 2, please what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would the answer be 5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If f\left( x \right) = \frac{{2{x^2}}}{{x  1}}, evaluate for f(4). Write only the answer as a decimal or fraction. also got stuck on this question

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0is your function, like this: \[f\left( x \right) = \frac{{2{x^2}}}{{x  1}}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we have to replace x with 4, so we can write: \[f\left( {  4} \right) = \frac{{2{{\left( {  4} \right)}^2}}}{{  4  1}} = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[f\left( {  4} \right) = \frac{{2{{\left( {  4} \right)}^2}}}{{  4  1}} = \frac{{2 \times 16}}{{  5}} = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0are you sure? what is 2*16=...?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0correct! so our answer is: \[f\left( {  4} \right) = \frac{{2{{\left( {  4} \right)}^2}}}{{  4  1}} = \frac{{2 \times 16}}{{  5}} = \frac{{32}}{{  5}} =  \frac{{32}}{5}\]
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