Question

Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3

Answer 1

Answer:

$(g\cdot f) = -3x^2-3$

Step-by-step explanation:

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

$g(x) = -3$

The problem state to multiply the function $f$ and $g$ so the symbol seems to be incorrect.

We actually want to calculate

$g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3$

Note

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