Suppose one has two functions, y(x) and z(x), and one seeks to obtain y(z) by substituting x(z) into y(x). Can this be done in a single step? Or must z(x) first be inverted independently? For the sake of illustration, suppose the functions consist of transcendental functions combined by the elementary operations of addition, subtraction, multiplication, division, and exponentiation. For instance,
y(x)=alnx+exp(bx)c+x
z(x)=lnx⋅(1−cosxexp(a2x))r
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