Questions: What is the value of this function evaluated at f(-3) : f(x) = 2 * 2 + 5x - 9?

Solution Steps

To find the value of the function \( f(x) = 2 \cdot 2 + 5x - 9 \) at \( x = -3 \), substitute \(-3\) for \( x \) in the function and simplify the expression.

To evaluate the function \( f(x) = 2 \cdot 2 + 5x - 9 \) at \( x = -3 \), substitute \(-3\) for \( x \):

\[ f(-3) = 2 \cdot 2 + 5(-3) - 9 \]

First, calculate the constant term:

\[ 2 \cdot 2 = 4 \]

Next, calculate the term involving \( x \):

\[ 5(-3) = -15 \]

Now, substitute these values back into the expression:

\[ f(-3) = 4 - 15 - 9 \]

Simplify the expression by performing the arithmetic operations:

\[ f(-3) = 4 - 15 - 9 = -20 \]

Final Answer