A rational and an irrational number between 3.99 and 4

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

Step-by-step explanation:

Rational = 3.995

Irrational = 3.991991199111991111....

Naddik [55]3 years ago

5 0

The rational numbers would be 3.99 and 4 while there are no irrational number. A rational number is a number that can be written as a fraction for 3.99 it can be written as 399/100 and its the simplest form of the fraction. Also, 4 is a rational number since it can be written as 4/1 which is a fraction.

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(f/g)(x)and (f/g)(7)

Phoenix [80]

Answer:

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Step-by-step explanation:

Division operation of function: $If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Example:

$Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}$