which equation is the inverse of y 16x2 1 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
Which equation is the inverse of y 16x2 1 The x term inside the radical has a negative coefficient If the domain of the square root function f x is x Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step
which equation is the inverse of y 16x2 1
which equation is the inverse of y 16x2 1
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How To Find The Inverse Of A Function YouTube
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Verifying Inverse Functions Precalculus YouTube
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The inverse is sqrt x 1 4 Step by step explanation y 16x 2 1 To find the inverse exchange x and y x 16 y 2 1 Then solve for y Subtract 1 x 1 16 y 2 Divide by 16 x 1 16 y 2 Take the square root of each side sqrt x 1 16 sqrt y 2 sqrt x 1 sqrt 16 y sqrt x 1 4 y The inverse is sqrt x 1 4 What is the inverse of y 16x 2 1 The inverse of y 16x 2 1 is sqrt x 1 4 sqrt x 1 4
Answer The equation is non invertible The equations of the graph gained by reflecting over y x y x 1 4 dfrac sqrt x 1 4 4 x 1 Domain 1 1 infty 1 Verify the answer choice The correct answer as given is y pm sqrt frac x 1 4 which matches our final simplified expression Therefore the inverse of y 16x 2 1 is indeed y pm frac sqrt x 1 4 or more accurately written as y pm sqrt frac x 1 4
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There are 3 methods for finding the inverse of a function algebraic method graphical method and numerical method What is the inverse of a function The inverse of a function f is a function f 1 such that for all x in the domain of f f 1 f x x Answer Step by step explanation The given equation is For this function to have an inverse we must restrict the domain say We interchange x and y to get We now make y the subject to get We divide through by 16 to get We now take the square root of both sides to get Since the inverse function is
The inverse function calculator finds the inverse of the given function If f x f x is a given function then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i e x f y x f y The inverse of the function y x 2 with domain x less than or equal to 0 has equation A y x 2 B y x 2 C y square root of x D y square root of x square root of x E y square root of x
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which equation is the inverse of y 16x2 1 - Answer The equation is non invertible The equations of the graph gained by reflecting over y x y x 1 4 dfrac sqrt x 1 4 4 x 1 Domain 1 1 infty 1