no, f(x) = 1 and g(x) = xx are not the same function. The first function maps all values of x to 1. In essence, no matter what x is, the value f(x) will always equal 1. g(x) maps all values of x to the square of the number entered. For example, g(2) = 4 while f(2) = 1. Because the two functions do not have equivalent outputs for the same input, they cannot be the same function.
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
graph gx is the reflection of graph fx and then transformed 1 unit down
What_is_the_area_bounded_by_the_graphs_of_fx_and_gx_where_fx_equals_xcubed_and_gx_equals_2x-xsquared
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
The composite function f of g is also expressed as f(g(x)). In this case, it would be 12(3x), or 36x.
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
graph gx is the reflection of graph fx and then transformed 1 unit down
What_is_the_area_bounded_by_the_graphs_of_fx_and_gx_where_fx_equals_xcubed_and_gx_equals_2x-xsquared
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
The composite function f of g is also expressed as f(g(x)). In this case, it would be 12(3x), or 36x.
Yes, the integral of gx dx is g integral x dx. In this case, g is unrelated to x, so it can be treated as constant and pulled outside of the integration.
Since g(x) is known, it helps a lot to find f(x). f(g(x)) is a new function composed by substituting x in f with g(x). For example, if g(x) = 2x + 1 and f(g(x)) = 4x2+ 4x + 1 then you you recognize that this is the square of the binomial 2x + 1, so that f(g(x)) = (f o g)(x) = h(x) = (2x + 1)2, meaning that f(x) = x2. if you have a specific example, it will be nice, because there are different ways (based on observation and intuition) to decompose a function and write it as a composite of two other functions.
4
graph G(x)=[x]-1
The Cx Major scale will have 14 sharps (all 7 double-sharps), and the scale goes like this: Cx, Dx, Ex (same as F♯), Fx, Gx, Ax, Bx (same as C♯), Cx.
Probably because Ge-force 5500 FX is the retailers mark. Graphics cards (like most computer components) are mass-produced - then marketed under different brand names. Essentially - if two graphics cards have the same specifications - but different names - you can almost guarantee they've been made by the same manufacturer !
no they are different