Wednesday
April 16, 2014

Homework Help: Calculus

Posted by Kelly on Tuesday, March 31, 2009 at 5:57pm.

Let h(x)= x^3 + 4x -2. Let g(x) represent the inverse of h(x).
Find g(14).

I know that if (a, f(a)) is on h(x), then (f(a), a) will be on g(x). I also know that if f^-1(a)=b if f(b)=a. I thought that if I could find the x value(s) at which h(x)=14, I would be able to find g(14).
g(x)= x^3+4x-2=14
g(x)= x^3+4x-16=0
I don't know where to go from here. I don't know how to solve the cubic to find x.

My teacher said it was not necessary to find the equation for g(x) to solve the problem. I tried finding it at first, but ran into problems there as well:
if y= x^3+4x-2
x= y^3+4y-2
x-2=y^3+4y
But I don't know how to solve for y.


Any help would be appreciated. Thank you.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

algebra 2 - for each function, find an equasion for the inverse. then use ...
Calculus - Find a formula for the inverse of the function. f(x) = (1 + 9x) / (8...
Calculus (Please check my work!) - Suppose that y = f(x) = x^2 - 4x + 4. Then on...
math - how do you find the equations inverse and the domain of the inverse f(x...
Algebra - Solve the system of equations: First:4x-2y=2 Second:y=-4x-7 4x-2(-4x-7...
Calculus - Given the function" f(x)=1/4x− 3, find a formula for the ...
math-Inverse functions - f(x)=-4x-2 & g(x)=5x-6. Find (f*g) and state domain. f(...
Algebra - What is the inverse of y = 4x - 2? Is it y = 1/4x - 1/2 If that is ...
pre-calculus - the function f(x)=4/x-7 is one to one a. find the inverse of f b...
Algebra - T o convert from X degrees centigrade to y degrees fahrenheit the ...

Search
Members