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xeze [42]
3 years ago
14

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

We need to find (g/f)(x).

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

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Question 1)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

F(G(x)) = 3(2x - 3)^2 + 1

F(G(x)) =3(4x^2 - 12x + 9) + 1

F(G(x)) = 12x^2 - 36x + 27 + 1

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Question 2)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

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. A survey of 30 students is taken. 11 students say that mathematics is their favorite subject. Based on this survey, how many s
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This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

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Read 2 more answers
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