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iff(x)=5x+40f(x)=5x + 40f(x)=5x+40, what isf(x)f(x)f(x)whenx=–5x = –5x=–5?

Question

Given the function:

f(x) = 5x + 40

Calculate f(x) when x = -5:

What is f(x) when x = -5?
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Solution

To find f(x) f(x) when x=5 x = -5 , we will use the following steps:

1. Break Down the Problem

We need to evaluate the function f(x)=5x+40 f(x) = 5x + 40 at x=5 x = -5 .

2. Relevant Concepts

The function given is a linear function and can be evaluated directly by substituting x x into the formula.

3. Analysis and Detail

We will substitute x=5 x = -5 into the function:

f(5)=5(5)+40 f(-5) = 5(-5) + 40

Calculating this:

f(5)=25+40 f(-5) = -25 + 40 f(5)=15 f(-5) = 15

4. Verify and Summarize

The calculation is simple and straightforward, ensuring no mistakes in substitution and arithmetic.

Final Answer

Thus, f(5)=15 f(-5) = 15 .

This problem has been solved

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