Learn what is the inverse of log and how to find the inverse of a log function. See examples and graphical representations; learn how to verify the...
She has 20 years of experience teaching collegiate mathematics at various institutions. The inverse of a function undoes what the function does to its inputs. These are the key characteristics of a function and its inverse:The domain of {eq}f(x) {/eq} is the range of {eq}f^{-1}(x)...
inversef(x)=ln(x−5) Description Find functions inverse step-by-step Frequently Asked Questions (FAQ) How do you calculate the inverse of a function? To calculate the inverse of a function, swap the x and y variables then solve for y in terms of x. ...
An inverse function goes the other way!Let us start with an example:Here we have the function f(x) = 2x+3, written as a flow diagram:The Inverse Function goes the other way:So the inverse of: 2x+3 is: (y−3)/2The inverse is usually shown by putting a little "-1" after the...
FunctionInverse of the FunctionComment + – × / Don’t divide by 0 1/x 1/y x and y not equal to 0 x2 √y x and y ≥ 0 xn y1/n n is not equal to 0 ex ln(y) y > 0 ax log a(y) y and a > 0 Sin (x) Sin-1 (y) –π/2 to + π/2 Cos (x) Cos-1 (y)...
For example, the inverse function of y = ax + b (α ≢ 0) is x = (y ø b)/a, the inverse function of y = ex is x = 1n y, and so forth. If x = ø(y) is the inverse function of y = f(x), then y = f(x) is the inverse function of x = ø(y). The ...
Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c . Then g^(prime)(f(x)) equal. (a)f^(prime)(c) (b) 1/(f^(prime)(c))
That is, for a function, f(x), and its inverse, denoted f-1 (x), it is always that case the f(f-1 (x)) = f-1 (f(x)) = x. When given a function, f(x), if it has an inverse, then we can find it using a specific set of steps....
百度试题 结果1 题目Find the inverse of the exponential function: 相关知识点: 试题来源: 解析 Change to . Then, switch and .×××Option A is the correct answer. 反馈 收藏
解析 1. f(x) = e^x 的反函数为(lnx)^(1/9)2. y = 9x^3+8 的反函数为y = [(x-8)/9]^(1/3)3. (a)ln(ln(x)) = 1lnx = ex = e^e(b) e^(ax) = Ce^(bx)ax = bx + lnC(a-b)x = lnCx = (lnC)/(a-b)反馈 收藏 ...