$$\(\mathrm{f}(x)=3-2 x \quad \mathrm{~g}(x)=x^{2}+5 \quad \mathrm{~h}(x)=x^{3}\)$$ Find $$\(\mathrm{hf}(x)+\mathrm{g}(x)\)$$. Give your answer in its simplest form. .............................................
Exam No：0580_s21_qp_41 Year：2021 Question No：12(e)
Answer:
\[
32-54 x+37 x^{2}-8 x^{3}
\]
final answer
32-54 x+37 x^{2}-8 x^{3}
\]
final answer
Knowledge points:
E2.2.2 Use brackets and extract common factors.
E2.2.3 Expand products of algebraic expressions. (e.g. expand (x + 4)(x – 7)) (Includes products of more than two brackets, e.g. (x + 4)(x – 7)(2x + 1))
E2.9.1 Use function notation, e.g. f(x)=3x-5, f:x↦3x-5, to describe simple functions.
E2.9.3 Form composite functions as defined by gf(x)=g(f(x)).
Solution:
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