if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
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If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
f(x)=2X-2
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
You can't.If f: D --> C where D is the domain of the function f and C is its codomain and D = Ø, then there are no d Є D. Therefore there are no c Є C : f(d) = c. Thus there are no ordered pairs (d, c) to graph.