Find f(x)•g(x) when f(x)=49-x^2, g(x)=7-x

Answer 1

Find f(x)•g(x) when f(x)=49-x^2, g(x)=7-x

I read it as f(x).g(x) ( hope . is not o) AND f(x) o g(x) ( Composite functions)

f(x) .g(x) =( 49- x² ) . (7 -x)

49*7 -49x -7x² +x³

or x³ -7x² -49x +343

What if it is

f(x) o g(x)

= f(g(x))

=f(7-x)

= 49 - (7-x)²

⁼ 49 - ( 49 +x²-14x)

= -x² +14x