Question

Asked Mar 26, 2019

22 views

Find the inverse of the function f(x)=4x^2-9 with domain x less than or equal to 0.

f^-1(x)=

Step 1

We have to find inverse of f(x) in given interval .

f(x) and interval is given by:

Step 2

First we will verify that f(x) is one to one or not in given domain.

For this we will use horizontal line test, in this test draw a line parallel to x axis if it cuts the f(x) more than once then function is not one to one.

Now in this case we have verified the function is one to one by horizontal line test .

Work is shown below:

Step 3

Now for inverse of f(x) replace x with y and y with x t...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Help with #4

A: Click to see the answer

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: Activity 6 Related Rates of 96 fi/min . How fast is the 11. A spherical hot air balloon is inflated ...

A: Firstly, we find dr/dt by using the formula of volume of sphere .We differentiate V with respect to ...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: please explain how to find GINI Index if the lorenz function is Y=0.92x1.96 My answer book says the ...

A: The given Lorenz function is,

Q: 2. Given the given function f(x) = x+defined on the interval [1, 3], determine if the function satis...

A: The given function is continuous and differentiable on the whole real numbers except zero. In partic...

Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

Q: 3x4 y‴+9x4 =5xy′+5x5 y″+9lnx Determine the order of the differential equation shown above.

A: The given differential equation is,