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

What is the value of this function evaluated at f(-3) : f(x) = 2 * 2 + 5x - 9?
Transcript text: 2. What is the value of this function evaluated at $f(-3)$ : $f(x)=2 \cdot 2+5 x-9 ?$
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Solution

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Solution Steps

To find the value of the function f(x)=22+5x9 f(x) = 2 \cdot 2 + 5x - 9 at x=3 x = -3 , substitute 3-3 for x x in the function and simplify the expression.

Step 1: Substitute x=3 x = -3 into the Function

To evaluate the function f(x)=22+5x9 f(x) = 2 \cdot 2 + 5x - 9 at x=3 x = -3 , substitute 3-3 for x x :

f(3)=22+5(3)9 f(-3) = 2 \cdot 2 + 5(-3) - 9

Step 2: Simplify the Expression

First, calculate the constant term:

22=4 2 \cdot 2 = 4

Next, calculate the term involving x x :

5(3)=15 5(-3) = -15

Now, substitute these values back into the expression:

f(3)=4159 f(-3) = 4 - 15 - 9

Step 3: Perform the Arithmetic Operations

Simplify the expression by performing the arithmetic operations:

f(3)=4159=20 f(-3) = 4 - 15 - 9 = -20

Final Answer

The value of the function evaluated at f(3) f(-3) is 20\boxed{-20}.

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