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What else can I help you with?
Is y equals x-3 a function?
y = x - 3 is a linear function where for each x-value we find one and only one y-value.
Find the function whose inverse is the same as the function itself?
f ( x ) = (x-2)/(x-1)if y = (x-2)/(x-1)yx-y= x - 2yx-x= -2+yx(y-1)=y-2x = (y-2)/(y-1)so g ( x ) the inverse function is also (x-2)/(x-1)
How do you find the y-intercept of a logarithmic function?
To find the y-intercept of a logarithmic function, set the input (x) equal to zero and solve for the output (y). However, since logarithmic functions of the form ( y = \log_b(x) ) are undefined for ( x \leq 0 ), they do not have a y-intercept in the traditional sense. If the function is in a transformed form, like ( y = a \log_b(x - c) + d ), you would need to ensure ( x - c > 0 ) before substituting ( x = 0 ). If valid, calculate ( y ) by substituting ( x ) into the function.
What is the inverse of a function and how do you represent it graphically and algebraically?
The inverse of a function reverses the input-output relationship, meaning if ( f(x) = y ), then the inverse ( f^{-1}(y) = x ). Graphically, the inverse of a function can be represented by reflecting the graph of the function across the line ( y = x ). Algebraically, to find the inverse, you solve the equation ( y = f(x) ) for ( x ) in terms of ( y ) and then interchange ( x ) and ( y ).
How do you find the inverse of a parabola?
To find the inverse of a parabola, you first express the equation of the parabola in the form ( y = ax^2 + bx + c ). Then, you solve for ( x ) in terms of ( y ) to find ( x ) as a function of ( y ). Since a standard parabola is not one-to-one, restrict the domain to ensure the function is invertible. Finally, interchange ( x ) and ( y ) to get the inverse function, typically expressed as ( y = f^{-1}(x) ).
What is the inverse of y equals x?
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
How do you find the y-intercept of a function?
The y-intercept is the value of a function f when x is equal to zero. So, substitute 0 for x into the equation and find the value of y.
Is y equals x-3 a function?
y = x - 3 is a linear function where for each x-value we find one and only one y-value.
How do you find the period of tangent function?
You find the smallest positive value y such that tan(x + y) = tan(x) for all x.
Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
Find the function whose inverse is the same as the function itself?
f ( x ) = (x-2)/(x-1)if y = (x-2)/(x-1)yx-y= x - 2yx-x= -2+yx(y-1)=y-2x = (y-2)/(y-1)so g ( x ) the inverse function is also (x-2)/(x-1)
How do you find the y-intercept of a logarithmic function?
To find the y-intercept of a logarithmic function, set the input (x) equal to zero and solve for the output (y). However, since logarithmic functions of the form ( y = \log_b(x) ) are undefined for ( x \leq 0 ), they do not have a y-intercept in the traditional sense. If the function is in a transformed form, like ( y = a \log_b(x - c) + d ), you would need to ensure ( x - c > 0 ) before substituting ( x = 0 ). If valid, calculate ( y ) by substituting ( x ) into the function.
What is the inverse of a function and how do you represent it graphically and algebraically?
The inverse of a function reverses the input-output relationship, meaning if ( f(x) = y ), then the inverse ( f^{-1}(y) = x ). Graphically, the inverse of a function can be represented by reflecting the graph of the function across the line ( y = x ). Algebraically, to find the inverse, you solve the equation ( y = f(x) ) for ( x ) in terms of ( y ) and then interchange ( x ) and ( y ).
How do you find the numbers x-intercepts of function y equals 5x'2?
5x²=0 X=0 the function y=5x² only intercepts x when x = 0
How do you find the inverse of a parabola?
To find the inverse of a parabola, you first express the equation of the parabola in the form ( y = ax^2 + bx + c ). Then, you solve for ( x ) in terms of ( y ) to find ( x ) as a function of ( y ). Since a standard parabola is not one-to-one, restrict the domain to ensure the function is invertible. Finally, interchange ( x ) and ( y ) to get the inverse function, typically expressed as ( y = f^{-1}(x) ).
How do you find the x value of an equation if you are only given the value of y using function notation?
You use the inverse function (if one exists).So, if y = f(x) then x = f-1(y)
What is the function of a ratio?
The function is f(x, y) = x/y where x, y are real, and y ≠0
