Find value of X in this equation

  • MHB
  • Thread starter aruwin
  • Start date
  • Tags
    Value
In summary, the conversation is about finding the value of x in an equation involving two functions, f(x) and g(x), and finding the possible value of x such that the derivative of f multiplied by the value of g at x is equal to 3/2. There is some confusion about the notation used for the derivative and composition of functions.
  • #1
aruwin
208
0
Hi, everyone.
Can someone guide me in finding the value of x in this equation?
I have left calculus for a very long time and I came across this question and wanted to try but I have forgotten a lot of things.
f(x)=5+2x and g(x)=2^x

Find the possible value of x such that f'g(x)=3/2
 
Mathematics news on Phys.org
  • #2
aruwin said:
Find the possible value of x such that f'g(x)=3/2
It depends on what you denote by $f'g(x)$. Usually $f'$ denotes the derivative of $f$; in this case $f'g(x)$ means the derivative of $f$ multiplied by the value of $g$ at $x$. However, it is not clear at what value $f'$ is taken. If it said $f'(x)g(x)$, then there would be no questions.

The second option is that you mean the composition of $f$ and $g$, which is usually denoted by $(f\circ g)(x)$. Could you say what you mean?
 
  • #3
f'(g(x)) = 3/2 is impossible, so I'm assuming it's f'(x) g(x).

-Dan
 

FAQ: Find value of X in this equation

What does the "X" represent in an equation?

The "X" in an equation represents an unknown value. It is typically used as a placeholder for a number that is yet to be determined.

How do you solve for X in an equation?

To solve for X in an equation, you must isolate the variable on one side of the equation. This can be done by performing the same operation on both sides of the equation until X is left by itself. For example, if the equation is 2X + 3 = 10, you can subtract 3 from both sides to get 2X = 7. Then, divide both sides by 2 to get X = 3.5.

Is there a specific order in solving for X in an equation?

Yes, there is a specific order in solving for X in an equation. This is known as the Order of Operations, which states that you must first simplify any parentheses or brackets, then perform any exponent operations, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. This ensures that the equation is solved correctly.

Can you use different methods to find the value of X in an equation?

Yes, there are different methods that can be used to find the value of X in an equation. Some common methods include using the Order of Operations, substitution, elimination, and graphing. The method used may vary depending on the complexity of the equation and personal preference.

Are there any common mistakes to avoid when solving for X in an equation?

Yes, there are common mistakes to avoid when solving for X in an equation. These include forgetting to apply the Order of Operations, making errors in simplifying expressions, and not checking the solution to see if it satisfies the original equation. It is important to double check your work and be mindful of any mistakes that may have been made.

Similar threads

MHB Solve the Floor Value of x in $x^2+1=2x$
Replies
3
Views
1K
MHB Max Value of $b$ for Real Roots of $f(x)$ and $g(x)$
Replies
2
Views
886
MHB Which procedure takes the minimum time to solve modulus functions?
Replies
5
Views
970
MHB Finding all Possible Values of $x$ in Triangle ABC
Replies
1
Views
987
MHB Find Integer Values for 1999 Distinct Real Solutions
Replies
1
Views
969
MHB Is the Equation $ |tanx + cotx| = |tanx| + |cotx| $ True for Any Value of $x$?
Replies
3
Views
999
I Extreme value nonexistence proof
Replies
11
Views
1K
MHB Finding $k$ for 2 Non-Negative Roots of $x^2-2x\lfloor x \rfloor +x-k=0$
Replies
2
Views
1K
MHB Linear combination of sine and cosine function
Replies
3
Views
1K
MHB Solve Absolute Value Equation |x^2 - 2x| = |x^2 + 6x|
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top