Which function represents the inverse function of the function f(x)= x^2+5
2 answers:
The inverse function :
A ƒunction can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagrams
If a ƒunction (f) pairs members of set A to set B, then the inverse of ƒunction f (f⁻¹) pairs members of set B to A, or easily f⁻¹ is the opposite of f
or in the form of equations :
f (x) = y if and only if g (y) = x
g (y) is called the inverse of f (x)
The step for determining the inverse ƒunction
1. expresses the ƒunction y = f (x) in the form x = f (y)
2. f⁻¹(y) = g(y)
3. Replace the letter y with x so we get the inverse ƒunction formula f⁻¹(x)
Known :
f (x) =x² +5
suppose f (x) = y then
y = x² +5
x ² = y-5
the inverse of the function f(x) =2x-10
Keywords : function, invers
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