Basic math and algebra
Basic math and algebra can be found online or in math books. We can solve math problems for you.
The Best Basic math and algebra
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To find the domain and range of a given function, we can use a graph. For example, consider the function f(x) = 2x + 1. We can plot this function on a coordinate plane: As we can see, the function produces valid y-values for all real numbers x. Therefore, the domain of this function is all real numbers. The range of this function is also all real numbers, since the function produces valid y-values for all real numbers x. To find the domain and range of a given function, we simply need to examine its graph and look for any restrictions on the input (domain) or output (range).
The distance formula is derived from the Pythagorean theorem. The Pythagorean theorem states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem is represented by the equation: a^2 + b^2 = c^2. In order to solve for c, we take the square root of both sides of the equation. This gives us: c = sqrt(a^2 + b^2). The distance formula is simply this equation rearranged to solve for d, which is the distance between two points. The distance formula is: d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2). This equation can be used to find the distance between any two points in a coordinate plane.
For example, if you have the equation 2^x=8, you can take the logarithm of both sides to get: log(2^x)=log(8). This can be rewritten as: x*log(2)=log(8). Now all you need to do is solve for x, and you're done! With a little practice, solving for exponents will become second nature.
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