Answer:
f(g(x))= x
Step-by-step explanation:
f(x)=(4x-3)/2
g(x) =(2x+3)/4
f(g(x)) means use the value obtained from g(x) in the equation defined by f(x). Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).
If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2
f(x) = (4x-3)/2
g(x) = (2x+3)/4
f(g(x))=(4((2x+3)/4)-3)/2
f(g(x))=(((8x+12)/4)-3)/2
f(g(x))= (2x+3-3)/2
f(g(x))= 2x/2
f(g(x))= x
