Question

I need the 2 f(x) problems solved at the bottom. worth good points pls help.

Answer 1

#21)

`{ \sf{f(x) = {x}^(2) - x - 4}} \\ \\ { \sf{f(x - 1) = {(x - 1)}^(2) - (x - 1) - 4 }} \\ \\ { \sf{f(x - 1) = ( {x}^(2) - 2x + 1) - x - 3}} \\ \\ { \boxed{ \sf{f(x - 1) = {x}^(2) - 3x - 2}}}`

#22)

`{ \sf{(g - f)(x) = (2x - 6) - ( {x}^(2) - x - 4) }} \\ \\ { \sf{(g - f)(x) = - {x}^(2) + (2x + x) + (4 - 6) }} \\ \\ { \boxed{ \sf{{(g - f)(x) = - {x}^(2) + 3x - 2}}}}`