Find Out the Value of F(X) for X=8 in the Expression 6x – 4!
If f(x) = 6x - 4, when x = 8, f(x) equals 44.
Have you ever wondered about the value of a function when a specific variable is given? If so, then you might be interested in finding out what the value of F(x) is when x equals 8. In order to determine this, we can use the function F(x) = 6x - 4, where x represents the variable and F(x) represents the output. By plugging in the value of x as 8 into the function, we can calculate the corresponding value of F(x). So, let's dive into the world of functions and discover what F(x) equals when x is 8!
Introduction
In mathematics, a function is a relationship between two sets of numbers, where each input value corresponds to exactly one output value. One commonly used notation for representing functions is f(x), where f denotes the function and x represents the input value. By substituting different values for x into the function, we can determine the corresponding output. In this article, we will explore the function f(x) = 6x – 4 and find its value when x is equal to 8.
The Function f(x) = 6x – 4
The function f(x) = 6x – 4 is a linear function. A linear function has a constant rate of change and graphically appears as a straight line on a coordinate plane. The equation f(x) = 6x – 4 represents a line that intersects the y-axis at -4 and has a slope of 6.
Substituting x = 8 into f(x)
When we substitute x = 8 into the function f(x) = 6x – 4, we can find the corresponding output value. Let's calculate:
f(8) = 6(8) – 4
f(8) = 48 – 4
f(8) = 44
The Value of f(x) when x = 8
By substituting x = 8 into the function f(x) = 6x – 4, we find that f(8) = 44. Therefore, when x is equal to 8, the value of f(x) is 44.
Understanding the Result
The result we obtained, f(8) = 44, represents the output value of the function when the input value is 8. In other words, it tells us that if we plug in 8 for x, the corresponding value of f(x) will be 44.
Graphical Representation
To visualize the function f(x) = 6x – 4 and its value when x = 8, we can plot the points (8, 44) on a coordinate plane. This point lies on the line representing the function and helps us understand its behavior.
Other Examples
Let's explore a few more examples to solidify our understanding:
Example 1:
Given f(x) = 6x – 4, find f(2).
f(2) = 6(2) – 4
f(2) = 12 – 4
f(2) = 8
Example 2:
Given f(x) = 6x – 4, find f(0).
f(0) = 6(0) – 4
f(0) = 0 – 4
f(0) = -4
Conclusion
The function f(x) = 6x – 4 represents a linear relationship between the input value x and the corresponding output value f(x). By substituting x = 8 into the function, we determined that f(8) = 44. Understanding how to evaluate functions at specific values is crucial in various mathematical and real-world applications.
Introduction
The concept of finding the value of f(x) when x is given is an essential aspect of algebraic equations. By substituting a specific value for x, we can determine the corresponding value of f(x). In this case, we are given the equation f(x) = 6x - 4 and tasked with finding the value of f(x) when x is equal to 8.Understanding the given equation
To comprehend the actions being performed in the equation f(x) = 6x - 4, let's break it down. The function f(x) represents the output value when the input x is put into the equation. In this case, f(x) is equal to 6x - 4. The expression 6x represents the result of multiplying x by 6, and then subtracting 4 from that result.Substituting x with a given value
To find the value of f(x) when x is 8, we need to substitute x with this given value in the equation f(x) = 6x - 4. By doing so, we will evaluate the resulting expression and determine the value of f(x).Performing the calculation
Let's substitute x with 8 in the equation f(x) = 6x - 4:f(8) = 6(8) - 4 = 48 - 4 = 44By substituting x with 8 in the equation f(x) = 6x - 4, we find that f(x) is equal to 44 when x is 8.Calculation result
The numerical outcome obtained after substituting x with 8 in the equation f(x) = 6x - 4 is 44.Option 1: f(x) = 2 when x = 8
Based on the given equation f(x) = 6x - 4, there is no possibility that f(x) equals 2 when x is 8. As we have calculated earlier, the value of f(x) when x is 8 is 44.Option 2: f(x) = 16 when x = 8
Similarly, there is no likelihood that f(x) equals 16 when x is 8. The correct value of f(x) when x is 8 is 44.Option 3: f(x) = 44 when x = 8
As determined through the calculation, f(x) does indeed equal 44 when x is 8. This is the correct value obtained by substituting x with 8 in the equation f(x) = 6x - 4.Option 4: f(x) = 52 when x = 8
Lastly, there is no potential outcome of f(x) being equal to 52 when x is 8. The accurate result, as previously calculated, is f(x) = 44 when x is 8.Conclusion
In summary, the possible values of f(x) when x is substituted with 8 in the equation f(x) = 6x - 4 are 2, 16, 44, and 52. However, after performing the necessary calculations, we find that the correct value of f(x) when x is 8 is indeed 44. It is crucial to understand the given equation, perform the substitution accurately, and calculate the resulting expression to obtain the correct value of f(x).1.When evaluating the function F(x) = 6x - 4 at x = 8, we can substitute the value of x into the expression and simplify to find the corresponding value of F(x).
2.Let's substitute x = 8 into the function:
F(8) = 6(8) - 4
F(8) = 48 - 4
F(8) = 44
3.Therefore, when x = 8, the value of F(x) is 44.
4.The tone used in this explanation is informative and straightforward, providing step-by-step instructions on how to evaluate the given function at a specific value of x. The language used is clear and concise, ensuring the reader can easily follow along and understand the process.
Thank you for visiting our blog! Today, we are going to dive into the world of mathematical functions and explore an interesting problem: What is the value of F(x) when x equals 8 in the function F(x) = 6x - 4? Let's embark on this mathematical journey together and find the solution!
To solve this problem, we need to substitute the value of x, which is 8, into the given function F(x) = 6x - 4. By doing so, we can determine the corresponding value of F(x) at x = 8. Let's plug in the value and do the calculations:
F(8) = 6(8) - 4
F(8) = 48 - 4
F(8) = 44
Therefore, when x equals 8, the value of F(x) in the function F(x) = 6x - 4 is 44. It's important to understand that the function F(x) represents a relationship between x and its corresponding output value, which is denoted as F(x). In this case, when we input 8 into the function, it produces an output of 44.
We hope this explanation has helped shed some light on the concept of mathematical functions and how they work. If you have any further questions or would like to explore more interesting mathematical problems, feel free to browse through our blog. Thank you once again for visiting, and we hope to see you again soon!
People Also Ask: What is F(x) when x = 8 in the function F(x) = 6x – 4?
Explanation:
When solving for F(x) when x = 8 in the given function F(x) = 6x – 4, we substitute the value of x into the function and evaluate it.
To find the value of F(x), we replace x with 8 in the expression 6x – 4:
F(8) = 6(8) – 4
F(8) = 48 – 4
F(8) = 44
Answer: F(x) is equal to 44 when x = 8.
In the given function, substituting x = 8 results in F(x) = 44. Therefore, when x is equal to 8, F(x) evaluates to 44.
It's important to note that the value of F(x) varies depending on the input value of x. By plugging in different values for x into the function F(x) = 6x – 4, you can determine the corresponding value of F(x) at each point.