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anonymous
 one year ago
If g(x) = sqrt(x3) and k(x) = x^2 + 5 then determine (kg)(x).
anonymous
 one year ago
If g(x) = sqrt(x3) and k(x) = x^2 + 5 then determine (kg)(x).

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rhr12
 one year ago
Best ResponseYou've already chosen the best response.0(kg)(5) means plug 5 into both equations, then divide the answer of k(x) by g(x) (g o k)(7) means plug 7 the equation k(x) and then plug the answer you get from k(x) into g(x)

rhr12
 one year ago
Best ResponseYou've already chosen the best response.0(k  g)(5) =(x²+5)–x–3 = x²x+2 = 5²5+2 = 22

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(kg)(x)=(x^2+5)(\sqrt{x ^{3})}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where did you get (kg) @rhr12? It says to multiply k and g. Were you just giving an example?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I agree with saseal that \[(kg)(x) = k(x)g(x) = (x^2+5)\sqrt{x3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what would you plug in for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or would you have to multiply that first?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{x3}=(x3)^{\frac{ 1 }{ 2 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0theres nothing to plug in, theres no value given in the question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I have to multiply it....Couldn't I just square both equations to get rid of the square root?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont think you can multiply, just leave it that way

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know think I'd bother multiplying it out, if its actually possible. If I wanted to evaluate (kg) at say x=10, I'd just use it as a normal function and substitute x = 10 everywhere. i.e.\[(kg)(10) = (10^2+5)\sqrt{107} = 105\sqrt{7}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So just write (x^2 + 5)(sqrt(x  3))?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It should be \[\sqrt{103} \text{ instead of } \sqrt{107}\] and yep that is what I'd write
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