I guess you mean an equation written in function notation, for example:
f(x) = 3x + 2
For the purposes of doing math, it may help to think of this as an alternative way of writing, for example (using the function above):
y = 3x + 2
It isn't clear from the question what you want to "solve", but if you write the equation this way, it might become a bit less confusing.
In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).
To solve for the inverse of an equation, first, replace the function notation (e.g., (y = f(x))) with (y). Then, swap the roles of (x) and (y) in the equation. After that, solve for (y) in terms of (x). Finally, replace (y) with (f^{-1}(x)) to express the inverse function.
Put f(x) = 0 and solve for x.
Solve f(x) =0 or y = 0 (depending on how the equation is given).
To solve the equation f(x) = 2x-5, set f(x) equal to zero and solve for x. In this case, you have 2x-5 = 0. Add 5 to both sides of the equation to isolate the x term, giving you 2x = 5. Finally, divide both sides by 2 to solve for x, which gives x = 5/2 or x = 2.5.
f(x) = x2 + 5x + 1 The roots of this equation are x = -0.2087 and x = -4.7913 (approx).
The solution to the equation y = 1/2x will be x= 2y.
When we solve an equation in mathematics we say that we find its root. Let f(x) = 0 be an equation. A root of the equation is a value k such that f(k) = 0. If f(x) is a polynomial, then f(x) = 0 is a polynomial equation. By the Factor Theorem, k is a root of this equation if and only if (x - k) is a factor of f(x). If (x - k) is a factor of f(x), then k is a simple root. If (x - k)^2 is a factor of f(x), then k is a double root. If (x - k)^3 is a factor of f(x), then k is a triple root, and so on. Thus, we can say that a root of order n, where n = 2 or n > 2, is a multiple (or repeated) root.
To solve for ( x ) using a Casio fx-82ES Plus calculator, first, enter the equation in the form ( f(x) = 0 ) by using the equation mode. Press the "MODE" button and select the "Equation" option. Choose the type of equation you are solving (e.g., polynomial), then input the coefficients as prompted. Finally, press the "SOLVE" button to find the value of ( x ).
In the equation y = f(x), Put x = 0 and solve for y. Those are the y intercepts. Put y = 0 and solve for x. Those are the x intercepts.
Set up the equation and solve: x + 5 = -13 (next subtract 5 from each side of the equation to solve for x) x = -18
To solve equations involving exponents using graphs, you can plot the functions represented by each side of the equation. For example, if you have ( f(x) = a^x ) and ( g(x) = b^x ), you would graph both functions on the same coordinate plane. The solutions to the equation ( a^x = b^x ) are the x-values where the graphs intersect. Additionally, properties of exponents can help simplify the equation before graphing, making it easier to identify the intersections.