Assumendo che F(x) = 1/(x-1) e G(x) = x+1/2, i grafici di F e G; F, G e F+G; F e 1/F; F e -F; F, G e F(G(.)); F, G e G(F(.)); F e |F|; F e F^-1 realizzati con WolframAlpha:

plot { 1/(x-1), x+1/2 }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), x+1/2, 1/(x-1)+(x+1/2) }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), x-1 }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1),-1/(x-1) }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), x+1/2, 1/((x+1/2)-1) }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), x+1/2, 1/(x-1)+1/2 }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), abs(1/(x-1)) }, -5 < x < 5, -5 < y < 5 plot { 1/(x-1), 1/x+1 }, -5 < x < 5, -5 < y < 5