Q
QuestionBiology

The functions $f$ and $g$ are defined as follows. f(x)= 2 x^{3}+ 6 \quad g(x)=- 3 x+ 2 Find $f(- 2)$ and $g(3)$. Simplify your answers as much as possible.
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Answer

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Step 1
: To find $f(- 2)$, substitute $x$ with $- 1$ in the function $f(x)$.

f(-2) = 2 \cdot (-2)^{3} + 6

Step 2
: Calculate the value of $- 1$ cubed.

-2)^{3} = -8

Final Answer

f(- 2) = - 10 Step 6: To find $g(3)$, substitute $x$ with $3$ in the function $g(x)$. g(3) = - 3 \cdot 3 + 2 Step 7: Perform the multiplication operation. g(3) = - 9 + 2 g(3) = - 7