QQuestionMathematics
QuestionMathematics
The functions $f$ and $g$ are defined as follows.
f(x)= 3 x- 1 \quad g(x)=- 2 x^{2}- 3
Find $f(- 5)$ and $g(2)$.
Simplify your answers as much as possible.
f(- 5)=
g(2)=
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Answer
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Step 1:: To find $f(- 5)$, substitute $x$ with $- 1$ in the function $f(x)$.
f(-5) = 3 \times (-5) - 1
Step 2:: Calculate the value of $f(- 5)$.
\begin{align*}
f(- 5) &= - 15 - 1 \ &= - 16 \end{align*}
Step 3:: To find $g(2)$, substitute $x$ with $1$ in the function $g(x)$.
g(2) = -2 \times (2)^2 - 3
Step 4:: Calculate the value of $g(2)$.
\begin{align*}
g(2) &= - 2 \times 4 - 3 \ &= - 8 - 3 \ &= - 11 \end{align*}
Final Answer
The values of the functions are $f(- 5) = - 1$ and $g(2) = - 1$.
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