Not really. Let's denote the graph of some function f(x) by G(f). Then we have the following rule.Ok suppose you have f(x)= sin 2x and and g(x)= sin(2x-30)

What would be the transformation? presumably you would all agree it is a shift of 30 in the x direction?

G(g) is G(f) shifted n units to the right iff g(x) = f(x - n)

In the first example, g(x) = sin(2(x - 15)) = f(x - 15). Therefore, G(g) is G(f) shifted 15 degrees to the right.

In the second example, g(x) = 2^(4x - 3) = 2^(4(x - 3/4)) = f(x - 3/4), so G(g) is G(f) shifted by 3/4. Note that f(x - 3) = 2^(4(x - 3)) = 2^(4x - 12), which is not the same as g(x).

The general rule is, when you consider the composition f(h(x)), you take the expression for f(x) and replace x with h(x).