math

posted by .

The function f:x =2x+1/x-3 and g:x =1-x/2

a. For what value of x is 'f' undefined?
b. Find 'f' inverse and hence solve f(x) =1/3.

c.Show that fg(x) -gh(x).

  • math -

    f is undefined when x-3 is zero, because division by zero is undefined.

    f = (2x+1)/(x-3)
    (x-3)f = 2x+1
    fx-3f = 2x+1
    (f-2)x = 3f+1
    x = (3f+1)/(f-2)

    now plug in x(1/3) to get -6/5

    dunno what h is

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. inverse

    find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?
  2. Math - Inverse Functions

    Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!?
  3. algebra

    1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different …
  4. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 …
  5. Math 3

    Find the inverse of the function f(x) = 5 – e^(x-1). Determine the domain, range, and asymptotes of the function and its inverse function. Please show all of your work.
  6. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4
  7. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at …
  8. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. …
  9. Algebra

    The function f(x)=x 3 +1 4 x−1 4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function …
  10. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and …

More Similar Questions