yes
y = sqrt(x) +4 y-4 = sqrt(x) (y-4)2 = x So the inverse is (x-4)2
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
Given a function that is one-to-one and onto (a bijection), an inverse relationship is a function that reverses the action of the first function.A simple example to illustrate:if f(x) = x + 2, then g(x) = x - 2 is its inverse. fg(x) = x = gf(x).To find an inverse relationship of a function f(x)write y = f(x) as a function of xswap x and ymake the [new] y the subject of the formulathat is the inverse function.Going back to f(x) = x + 2write y = x + 2swap: x = y + 2make y the subject of the above equation: y = x - 2and so f'(x) is x - 2 where f'(x) represent the inverse of f(x).
g(x) = x/2
yes
the inverse of the cube root of x is 2
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
"Inverse operations" An operation has an inverse if their effects cancel each other out. X+Y-Y=X + and - are inverse 4+2-2=4 (A/B)xB=A x and / are inverse (10/5)x5=10 Ythroot(X^Y)=X Ythroot and x^y are inverse 3rdroot(6^3)=6
y = 3x + 2 y-2 = 3x x = (y-2)/3 So the inverse is (x-2)/3
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
5
The inverse of x2 is x-2.
y = sqrt(x) +4 y-4 = sqrt(x) (y-4)2 = x So the inverse is (x-4)2
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
Given a function that is one-to-one and onto (a bijection), an inverse relationship is a function that reverses the action of the first function.A simple example to illustrate:if f(x) = x + 2, then g(x) = x - 2 is its inverse. fg(x) = x = gf(x).To find an inverse relationship of a function f(x)write y = f(x) as a function of xswap x and ymake the [new] y the subject of the formulathat is the inverse function.Going back to f(x) = x + 2write y = x + 2swap: x = y + 2make y the subject of the above equation: y = x - 2and so f'(x) is x - 2 where f'(x) represent the inverse of f(x).
g(x) = x/2