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F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)?
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Finding the Inverse of a Function f(x) = 2x - 7/4
To find the inverse of a function, we need to switch the roles of x and y in the original function and solve for y. In this case, the original function is f(x) = 2x - 7/4.
Step 1: Switch x and y
Let y = 2x - 7/4. Switching x and y, we get x = 2y - 7/4.
Step 2: Solve for y
Now, solve for y in terms of x:
x = 2y - 7/4
x + 7/4 = 2y
y = (x + 7/4) / 2
Step 3: Determine the Inverse Function
Therefore, the inverse function of f(x) = 2x - 7/4 is f^-1(x) = (x + 7/4) / 2.
Explanation:
The inverse function undoes the original function's operation. In this case, f^-1(x) will reverse the steps of f(x) = 2x - 7/4. By following the steps above, we have successfully found the inverse function f^-1(x) for the given original function f(x).
To find the inverse of a function, we need to switch the roles of x and y in the original function and solve for y. In this case, the original function is f(x) = 2x - 7/4.
Step 1: Switch x and y
Let y = 2x - 7/4. Switching x and y, we get x = 2y - 7/4.
Step 2: Solve for y
Now, solve for y in terms of x:
x = 2y - 7/4
x + 7/4 = 2y
y = (x + 7/4) / 2
Step 3: Determine the Inverse Function
Therefore, the inverse function of f(x) = 2x - 7/4 is f^-1(x) = (x + 7/4) / 2.
Explanation:
The inverse function undoes the original function's operation. In this case, f^-1(x) will reverse the steps of f(x) = 2x - 7/4. By following the steps above, we have successfully found the inverse function f^-1(x) for the given original function f(x).
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F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)?.
F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for F:R R defined by f(x) = 2x-7/4 is an invertible function write f inverse(x)?.
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