20 range of r 1 3 5. Divide each term in 3 y 4 2 x 3 y 4 2 x by 3 3.
Square root of cos x.
2x 3y 4 domain and range. Subtract 2 x 2 x from both sides of the equation. Enter your queries using plain english. Tap for more steps.
3 y 3 4 3 2 x 3 3 y 3 4 3 2 x 3. To avoid ambiguous queries make sure to use parentheses where necessary. In some cases the interval be specified along with the function such as f x 3x 4 2 x 12.
Tap for more steps. The domain of the expression is all real numbers except where the expression is undefined. 37 39 reflexivity.
Let x be an arbitrary element of r. So state if it s a function and what is the range and domain of. Here are some examples illustrating how to ask for the domain and range.
If y 1 2x 3 the domain is x cannot be 1 5 2x 3 cannot be 0 and so the range cannot be 0 since it is a reciprocal function and only approaches 0. Solve for y y. So domain of r 1 2 3 4.
Here x can take the values between 2 and 12 as input i e. Divide each term by 3 3 and simplify. Find the domain of 1 e 1 x 1 function domain.
Domain of r is the values of x and range of r is the values of y that together should satisfy 2x y 41. If y x 2 4 then the domain is all real. When the given function is of the form f x 1 x 1 the domain will be the set of all real numbers except 1.
2x 3y 4 2 x 3 y 4. Let x y r then 2x y 41. In this case there is no real number that makes the expression undefined.
Domain of log x x 2 1 x 2 1 domain. Find the domain and range f x 2x 4. Then x r 2x x 41 cannot be true.
Graph each equation above on the graph below and show all work. So r is not reflexive. Domain and range tips for entering queries.
The range is the set of all valid values. X x r.