Question

Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST

Answer 1

f(x) =5-3x

g(x)=x²-1

f(g(x)) = f(x²-1)

replacing x by x²-1 in the function f(x) , we get

f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²

f(g(x)) =8-3x²

now finding g(f(x))

g(5-3x)

replacing x by 5-3x in the function g(x)

g(5-3x) = (5-3x)²-1

g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24

g(f(x))= 9x²-30x +24

f(g(x)) =8-3x²

in option third the f(g(x)) is -3x³+8 which is incorrect