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What is the inverse function of 7 - 2x?

Updated: 4/28/2022
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14y ago

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Bonita Tromp

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3y ago
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14y ago

(7 - x)/2

To test:

7 - 2[(7 - x) / 2]

= 7 - 7 + x

= x

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Q: What is the inverse function of 7 - 2x?
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What is the inverse of a function y1?

Definition of the inverse of a function.Let f and g be two functions such thatf(g(x)) = x for every x in the domain of g andg(f(x)) = x for every x in the domain of f.The function g is the inverse of the function f, and the domain of f is equal to the range of g, and vice versa.Example: Find the inverse of y1 = 2x + 7Solutiony1 = 2x + 7 interchange x and y;x = 2y1 + 7 solve for y;x - 7 = 2y1 + 7 -7 subtract 7 to both sides;x - 7 = 2y1 divide by 2 both sides;(x - 7)/2 = y1 replace y1 with y2;y2 = (x - 7)/2Thus, the inverse of y1 = 2x +7 is y2 = (x -7)/2Let's check if this is true according to the above definition:Let y1 = f(x) = 2x +7 and y2 = g(x) = (x -7)/21. f(g(x))= x ?f(x) = 2x + 7f((x - 7)/2) = 2[(x -7)/2] + 7 = x - 7 + 7 = x True2. g(f(x) = x ?g(x) = (x - 7)/2g(2x + 7) = [(2x + 7) - 7]/2 = 2x/2 = x True


What is additive inverse of -2x?

What is additive inverse


Inverse function 2x plus 4?

y=2x+4 --> x=2y+4 ==> y=(x-4)/2


What is inverse of a function?

Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2


What is the multiplicitive inverse of 3 plus 2x?

The multiplicative inverse of 3+2x is 1/(3+2x).


What is the inverse function of y equals 2x minus 4?

To find the inverse of a function, you replace x with y and y with x. Here, y=2x-4 would become x=2y-4. Now, we solve for y. 2y=x+4. y=(x/2)+4, and that is the inverse equation.


What is the inverse of -x5 - 2x plus 2?

The additive inverse is x5 + 2x - 2.


Is the inverse a function?

a relation that is the inverse of the original function. So the variables ( x and y) are swapped. xcoordinatesbecomes ycoordinatesand vice versa.f(x) = 2x +5inverse f(x) = (x - 5)/2


How to Simplify Inverse functions?

This is a broad question that depends on the function. Let's look at simple linear ones and you can get some idea. Say f(x)=2x+3We can write this as y=2x+3.Now solve for x and we have (y-3)/2=xso f(y)=(y-3)/2 and this is the inverse function.We solved for the other variable and wrote the function in terms of it.So if we have a the point 2 in the original function, f(2)=2x2+3=7Now f(7) in the inverse gives us (7-3)/2=4/2=2.For a point (a,b) if f(a)=b, then if g is the inverse g(b)=a.


How do you find the inverse of the function f of x equals 2x plus 1 divide x-1?

y = f(x) = (2x + 1)/(x - 1)y*(x - 1) = (2x + 1) xy - y = 2x + 1xy - 2x = y + 1x(y - 2) = y + 1so x = (y + 1)/(y - 2) assuming y�2.So the inverse function is f-1(x) = (x + 1)/(x - 2)


What is the relationships between inverse functions?

The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.


Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.