anonymous
  • anonymous
If f(x) = x + 4 and g(x) = 2x - 3, find (g - f)(2). Write the answer as an integer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Michele_Laino
  • Michele_Laino
by definition we can write: \[\left( {g - f} \right)\left( x \right) = g\left( x \right) - f\left( x \right) = \left( {2x - 3} \right) - \left( {x + 4} \right) = ...?\]
anonymous
  • anonymous
okay
Michele_Laino
  • Michele_Laino
hint: \[\begin{gathered} \left( {g - f} \right)\left( x \right) = g\left( x \right) - f\left( x \right) = \left( {2x - 3} \right) - \left( {x + 4} \right) = \hfill \\ \hfill \\ = 2x - 3 - x - 4 = ...? \hfill \\ \end{gathered} \]

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More answers

anonymous
  • anonymous
I got 6
Michele_Laino
  • Michele_Laino
I got a different result
anonymous
  • anonymous
I got 9
Michele_Laino
  • Michele_Laino
hint: \[\begin{gathered} \left( {g - f} \right)\left( x \right) = g\left( x \right) - f\left( x \right) = \left( {2x - 3} \right) - \left( {x + 4} \right) = \hfill \\ \hfill \\ = 2x - 3 - x - 4 = x - 7 \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
now, replace x with 2, please what do you get?
anonymous
  • anonymous
-5
Michele_Laino
  • Michele_Laino
that's right!
anonymous
  • anonymous
so would the answer be -5
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
If 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
  • Michele_Laino
is your function, like this: \[f\left( x \right) = \frac{{2{x^2}}}{{x - 1}}\]
anonymous
  • anonymous
yes
Michele_Laino
  • Michele_Laino
we have to replace x with -4, so we can write: \[f\left( { - 4} \right) = \frac{{2{{\left( { - 4} \right)}^2}}}{{ - 4 - 1}} = ...?\]
anonymous
  • anonymous
-13
Michele_Laino
  • Michele_Laino
hint: \[f\left( { - 4} \right) = \frac{{2{{\left( { - 4} \right)}^2}}}{{ - 4 - 1}} = \frac{{2 \times 16}}{{ - 5}} = ...?\]
anonymous
  • anonymous
27
Michele_Laino
  • Michele_Laino
are you sure? what is 2*16=...?
anonymous
  • anonymous
32
Michele_Laino
  • Michele_Laino
correct! so our answer is: \[f\left( { - 4} \right) = \frac{{2{{\left( { - 4} \right)}^2}}}{{ - 4 - 1}} = \frac{{2 \times 16}}{{ - 5}} = \frac{{32}}{{ - 5}} = - \frac{{32}}{5}\]
anonymous
  • anonymous
okay

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