What are some examples of a equation of a nonlinear function?

Answer 1

polynomial functions: x2,x3,x1/2,x-1,xn if n doesn't equal 1 or 0

any trigonometric function: sin(x), cos(x), tan(x), sec(x), csc(x), cot(x)

exponential functions: 2x,3x,.5x,ex,nx if n doesn't equal 1 or 0.

any logarithmic function: log10(x), log2(x), ln(x), logn(x), for every n.

any inverse trig function: sin-1(x),sin-1(x),cos-1(x),tan-1(x),sec-1(x),csc-1(x),cot-1(x)

hyperbolic functions and their inverses: sinh(x),cosh(x),tanh(x),sech(x),csch(x),coth(x),

sinh-1(x),cosh-1(x),tanh-1(x),sech-1(x),csch-1(x),coth-1(x)

Hypergeometric function, Logarithmic integrals, Error functions, Fresnel integrals, Elliptic Integrals, and the integrals of nearly every other function.

Also, any combination of the above functions.