fischerp18
fischerp18
13-02-2017
Mathematics
contestada
What is the inverse of this equation?
Respuesta :
lukyo
lukyo
13-02-2017
Inverting a function is equivalent to solve the equation x = f(y) for the variable y.
Take the function:
y = ∛(x – 2) + 6
Switch x and y, and then solve the equation for y:
x = ∛(y – 2) + 6
x – 6 = ∛(y – 2)
∛(y – 2) = x – 6
Cube both sides:
[ ∛(y – 2) ]³ = (x – 6)³
y – 2 = (x – 6)³
y = (x – 6)³ + 2
<——— and there it is, the inverse function.
I hope this helps. =)
Answer Link
VER TODAS LAS RESPUESTAS ( 81+ )
Otras preguntas
Which are correct statements about the Battle of Fort Pulaski? Check all that apply. The South won the battle. The Union fought to control Savannah’s port. T
The quotient of twice a number and 7 is 20
Which is and element A) Salad B) Sugar C) Water D) Potassium
This is about Meiosis, please fill in the blanks
The Hawaiian Islands were formed from a type of catastrophic event, occurring many times. Each island in the chain is composed of at least one major what? A) ri
Which sentence best describes a shuco? A. Es un postre guatemalteco. B. Es un sánduche guatemalteco. C. Es una sopa guatemalteca. D. Es una bebida guatemalteca
What are the first four terms of the sequence represented by the expression n(n – 1) – 4? A. –2, 2, 6, 10 B. –3, 0, 3, 6 C. –4, –2, 2, 8 D. –5, –4, –2, 6
Which is not and example of a pull factor in migration
To arrive to his appointment on time, Mr. Jones had to drive all the way from his home with the average speed of 60 mph. Due to heavy traffic, he was driving 15
Compute the missing data in the table for the following exponential function Round your answer to the nearest tenths place. x : 0 1 2 3 4
