Given f(x)=x2−1 and g(x)=5x−4, find each of the following

Question

ita a b c and d answers

Answer 1

f(x) = x^2 -1 = (x+1)(x-1)

g(x) = 5x-4

f(g(x)) = (5x-4)^2 -1

= 25x^2 -40x +15

g(f(x)) = 5(x^2-1)-4

= 5x^2 -9

f(x)+g(x) = x^2-1 +5x-4 = x^2 +5x -5

f(x)-g(x) = x^2-1 -5x+4 = x^2 -5x +3

g(x)-f(x) = 5x-4 -x^2+1 = -x^2+5x -3

f(x)/g(x) = (x^2-1)/(5x-4)

g(x)/f(x) = (5x-4)/(x^2-1)

maybe your a), b), c), d) multiple choice options include one of the above solutions