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

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Q: Is the inverse of an exponential function the quadratic function?

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X squared is not an inverse function; it is a quadratic function.

Logarithmic Function

No. It is a sequence for which the rule is a quadratic expression.

It depends on the domain and codomain. In complex numbers, that is, when the domain and codomain are both C, every quadratic always has an inverse.If the range of the quadratic in the form ax2 + bx + c = 0 is the set of real numbers, R, then the function has an inverse if(a) b2 - 4ac ≥ 0and(b) the range of the inverse is defined as x ≥ 0 or x ≤ 0

Apex: false A logarithmic function is not the same as an exponential function, but they are closely related. Logarithmic functions are the inverses of their respective exponential functions. For the function y=ln(x), its inverse is x=ey For the function y=log3(x), its inverse is x=3y For the function y=4x, its inverse is x=log4(y) For the function y=ln(x-2), its inverse is x=ey+2 By using the properties of logarithms, especially the fact that a number raised to a logarithm of base itself equals the argument of the logarithm: aloga(b)=b you can see that an exponential function with x as the independent variable of the form y=f(x) can be transformed into a function with y as the independent variable, x=f(y), by making it a logarithmic function. For a generalization: y=ax transforms to x=loga(y) and vice-versa Graphically, the logarithmic function is the corresponding exponential function reflected by the line y = x.

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No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.

X squared is not an inverse function; it is a quadratic function.

Yes.

Logarithmic Function

No. It is a sequence for which the rule is a quadratic expression.

yes

The inverse function of the exponential is the logarithm.

An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.

If the quadratic function is f(x) = ax^2 + bx + c then its inverse isf'(x) = [-b + +/- sqrt{b^2 - 4*(c - x)}]/(2a)

Assuming that b > 0, it is an inverse power function or an inverse exponential function.

Yes, y = loga(x) means the same as x=ay.

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