Calculus

The function g is defined by g(x)=9k−4, where k is a constant. Find k, if the graph of g passes through the point (7,−2).

  1. 👍 0
  2. 👎 0
  3. 👁 210
  1. Your function g(x) doesn't have any x's in it! If it's a constant, then
    9k-4 = -2
    k = 2/9
    You sure you don't mean
    g(x) = 9kx-4
    or
    g(x) = 9x-4k or something?
    since g(7) = -2, if g(x) = 9kx-4, then
    9k*7-4 = -2
    63k = 2
    k = 2/63

    If that's not what you wanted, then fix g(x) and just plug in 7 for x and -2 for g(x) in the equation, then solve for k.

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of

    asked by Yoona on January 2, 2012
  2. algebra

    2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f

    asked by sharday on May 24, 2013
  3. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

    asked by Amy on February 21, 2011
  4. math

    what is the factorial of a negative number? The factorial function has singularities at the negative integers. You can see this as follows. For integers we define: (n+1)! = (n+1)n! and we put 0! = 1 So, from 0! you can compute 1!

    asked by chris on July 10, 2007
  5. Calculus

    If the function f is defined by f(x)=x^2-2x, find limit h->0 (f(3+h)-(f(3-h))/2h

    asked by Leanna on September 21, 2010
  1. Math

    The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find

    asked by Steven on December 29, 2014
  2. algebra

    a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.

    asked by Carla on July 27, 2012
  3. Maths

    Let the function f be defined by: f(x)={x+66if x−3. Sketch the graph of this function and find the following limits, if they exist

    asked by Amilia on October 24, 2017
  4. Algebra

    The function h is defined by h(x)=x^(2)-x. Find h(2x).

    asked by Miranda on May 17, 2011
  5. college algebra

    1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if

    asked by cnfused-steve please on December 1, 2012
  6. math/calculus

    The function f is defined as follows: f(x)={x+6 if -5 less than or equal to x1 a. find the domain b. locate any intercepts, if any

    asked by Roger on January 6, 2013

You can view more similar questions or ask a new question.