Question

Express your answer as a polynomial in standard form.
f, of, x, equals, 3, x, squared, minus, 4, x, plus, 14
begin matrix
row 1, column 1, minus, 3
row 1, column 2, 0
row 2, column 1, minus, 1
row 2, column 2, minus, 2
end matrix
begin matrix
row 1, column 1, 2
row 1, column 2, minus, 5
row 2, column 1, 3
row 2, column 2, minus, 1
end matrix
begin matrix
row 1, column 1
row 1, column 2
row 2, column 1
row 2, column 2
end matrix
begin matrix
row 1, column 1
row 1, column 2
row 2, column 1
row 2, column 2
end matrix
f(x)=
3x
2
−4x+14
g, of, x, equals, minus, x, minus, 6
g(x)=
−x−6
Find: , left parenthesis, g, circle, f, right parenthesis, left parenthesis, x, right parenthesis
Find: (g∘f)(x)

Answer 1

g(f(x)) = g(3x^2 − 4x + 14) = −(3x^2 − 4x + 14) − 6 = −3x^2 + 4x − 20.