Answered

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Which function has an inverse that is a function?
Ob(x) = x2 + 3
Od(x) = -9
Om(x) = -7x
O p(x) = 1x1
Which function has an inverse that is a function?

Sagot :

reinhard10158

Step-by-step explanation:

an equation is a function, if it delivers for every possible input value x exactly one result value y.

b(x) = y = x² + 3

y - 3 = x²

x = sqrt(y -3)

our formally correct

y = sqrt(x - 3)

that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.

d(x) = -9

that means for every possible value of x the result is -9.

reversing this means that the input value of -9 has infinitely many possible results

that is NOT a function.

m(x) = y = -7x

x = -y/7

or formally correct

y = -x/7

that is a normal function. every possible value of x leads to exactly one value of y.

p(x) = y = 1x¹ = x

y = x is its own inverse function.

and this is, of course, a function. every possible value of x leads to exactly one value of y.

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