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anonymous
 one year ago
For the realvalued functions g(x)=(x4)/(x+3) and h(x)=2x1, find the composition of g open circle h and specify its domain using interval notation.
anonymous
 one year ago
For the realvalued functions g(x)=(x4)/(x+3) and h(x)=2x1, find the composition of g open circle h and specify its domain using interval notation.

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tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Well, do it. Let's see your best algebra.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im not sure what to do.

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Hint: If f(x) = 2x + 1 And r(x) = 3x  2 f o r(x) = f(r(x)) = 2x + 1 = 2(r(x)) + 1 = 2(3x2) + 1 = 6x  4 + 1 = 6x  3 We are creating new functions by substituting old ones into other old ones.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I still dont understand. Could you show me step by step how to solve it.

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Just did. Your turn. If \(g(x) = \dfrac{x4}{x+3}\), what is \(g(5)\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would that answer to the question be 2x−5/2(x+1)

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1You didn't answer my question. What is \(g(5)\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it the same as saying g(h(x))? just wanted to know before i asnwer

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1That's the next question. First, I want to see if you understand the concept of substitution into a function definition. You can answer wither question. \(g(h(x))\;or\;g(5)\).

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1\(g(5) = \dfrac{54}{5+3}\) \(g(h(x)) = \dfrac{h(x)4}{h(x)+3}\) That's ALL I'm looking for. Now, substitute in that last statement the definition for h(x) and do some simplifying.
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