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The inverse function of the function y = ln (x + √ (x 2 + 1)),
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∵y=ln（x-1）
∴x=ey+1（y∈R），
The inverse function of the function y = ln (x-1) is y = ex + 1 (x ∈ R)
So the answer is: y = ex + 1 (x ∈ R)
The inverse function of the function y = ln (x-1) - 1 (x > 1)
The method of finding inverse function is to invert the variable and express the dependent variable with the independent variable after inversion
y=ln(x-1)-1
x=ln(y-1)-1
x+1=ln(y-1)
e^(x+1)=y-1
y=e^(x+1)+1
Inverse function of y = ln (xsquare-1) One more X + 1 square of y = e
Y = √ (E * x + 1), () is the x power of E plus 1, and the definition field is real number
The other is y = lnx-1, and the domain is positive
What is the inverse function of the power y=2 (x-1)? It is expressed in the form of log
The inverse function is that x becomes y and Y becomes X
That is, y = 2 (x-1) power becomes x = 2 (Y-1) power
y-1=log2(x)
y=log2(x)+1
Because the logarithmic function requires an increment greater than zero
The answer is y = log2 (x) + 1 x > 0
Inverse function of y = (x power of 3) + 1
Because y = 3 to the power of X + 1
The x power of Y-1 = 3 is obtained by transformation
The logarithm (3) is transformed into the logarithm base function
Turn X and Y upside down
The inverse function with y = log3 as the base (x-1) as the true number is obtained
Bonus points!
The calculation is: (x + 2Y) (3x-5y) - (6x to the fourth power y ^ - 2x? Y ^) × (2x? Y ^)
(x+2y)(3x-5y)-(6x⁴y²-2x²y²）÷（2x²y²）=(x+2y)(3x-5y)-2x²y²(3x²-1）÷（2x²y²）=(3x²-5xy+6xy-10y²)-(3x²-1）=3x²-5xy+6xy-10y&#...
Find the inverse function of (x ^ 2-2x + 3) power of F (x) = 2, (x > = 1)
(x-1)^2+2=lg2(y)
x-1=√(lg2y-2)
y=1+√(lg2x-2)
Lg2x, 2 as base
Calculation: ① - 2x - 1st power y × 3xy - 3rd power ② 6x? YZ ^ (- 2XY - 2nd power Z - 1st power)
① - 2x - 1st power y × 3xy - 3rd power
=-The - 2 power of 6y
=-6/y²
② 6X? YZ ^ (- 2XY - 2nd power, Z - 1st power)
=-3xy³z²
(6x quartic y to the m power) / (2x to the nth power) / y 2 = 3xy, then n = M=
To the power of (2x) / (n) to the power of (2x) / (n)
The (4-N) power of 3x and the (m-2) power of y = 3xy
∴4-n=1
m-2=1
∴m=3
N=3
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