if f(x)=-2x+3 and g(x)=x^2-1, then what is the coefficient of the x^2 term of f(g(x))?

f(g(x))=f(x^2-1)= -2(x^2-1)+3= -2x^2+2+3= -2x^2+5
So the cofficient of the term f(g(x)) is: -2

f ( g ( x ) ) = f (x² - 1) = - 2(x² - 1) + 3 = - 2x² + 5
- 2 is answer.

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

f[g(x)]
= f[x^2 - 1]

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

∴ the coefficient of the x^2 term of f[g(x)] is -2.

f(g(x))=-2g(x)+3
f(g(x))=-2(x^2-1)+3
f(g(x))=-2x^2+2+3
f(g(x))=-2x^2+5
so the answer is -2