What is the inverse function off(x) = 3(x- 2)3? Inverse Functions: In mathematics, if two functions undo each other, then we say they are inverse functions, and we denote the inverse of a functionf(x) asf-1(x).
The inverse function is a function that tends to codomain to the domain. For instance, the exponential function is the inverse function of the logarithmic function. The inverse function of function f is denoted as f−1.Answer and Explanation: The given function is y=f(x)=log3(x) ...
So a reciprocal function is one divided by the function. The reciprocal of {eq}5 {/eq} is {eq}\frac{1}{5} {/eq} The reciprocal of the function {eq}x+5 {/eq} is {eq}\frac{1}{x + 5} {/eq} The reciprocal function is the multiplicative inverse of the function. In ...
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Logarithmic functions:Natural logarithm (ln) and common logarithm (log) are useful for working with exponential relationships and solving equations. Exponential functions:The exponential function (e^x) and its inverse, the natural logarithm, are crucial for growth and decay problems. ...
The last is a decimal logarithmic scale (dimensionless). Mathematically, it is quite clear that the argument of the logarithmic function should be taken as dimensionless, just as for that of its inverse exponential function. Hence we may consistently write: pH = - log10(|[H3O+]|) = - log...
values unique to the function. The power rule states that the derivative of {eq}f(x)=x^n {/eq} will be given by {eq}f'(x)=nx^{n-1} {/eq}. Another way to state this is to multiply the function by the power and then subtract one from the power in order to get the ...
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Homework Statement What is the inverse of this logarithm equation? y=-log5(-x) i tried it and i got y=-5(-x)hm.. you know how people say that if you...