Adding Unlike denominators 1/11 + 1/4

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

Answer: 15/44

Step-by-step explanation:

You have to make the denominators match so:

1/11(4) + 1/4(11)=

4/44 + 11/44=

15/44

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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4

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$\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}$