3 years ago

Help please math problem

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

Hope this will help you and hope you understand my handwriting

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If f(x)= x-3/x and g(x)= 5x-3, what is the domain of (f•g)(x)

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$f(x)=\dfrac{x-3}{x},\ D_f:x\neq0\\\\g(x)=5x-3,\ D_g=\mathbb{R}\\\\(f\cdot g)(x)=f(x)\cdot g(x)\\\\(f\cdot g)(x)=\dfrac{x-3}{x}\cdot(5x-3)=\dfrac{(x-3)(5x-3)}{x}\\\\D_{(f\cdot g)}=D_f$

Answer: The domain of (f•g)(x) is all real numbers except for 0

$D=\mathbb{R}-\{0\}$

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This is written as:

3:10

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