Pre-Calculus

g(x)= x^2+7

Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation

  1. 👍 0
  2. 👎 0
  3. 👁 69
  1. g(x) has two branches, so
    g^-1(x) = ±√(x-7)

    in either case, the domain is all x such that x-7 >= 0

    just as the range of g(x) is [7,∞)

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Advanced Algebra

    What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case,

    asked by Keith on November 15, 2014
  2. 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

    asked by Wafi on June 4, 2008
  3. Precalculus

    The question(s) are as follows: Given: f(x) = 3cos(3x+π) - 4 Find: a) the inverse of F(x) b) the domain and range of F(x) c) the domain and range of F -1(x) I got cos-1[(x-4)/9] - π = y for the inverse, although I'm not sure I

    asked by Mary on November 11, 2012
  4. Calc

    range of f(x)= 5^(2x^2-1)^(1/2) i know that the domain of the inverse would be the range of this and i've found the inverse but it has natural logs in it and i don't know how to find the domain with that.. i feel like i'm missing

    asked by Aparna on March 19, 2013
  5. Pre-calculus

    Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of

    asked by Elle on March 26, 2009
  6. Algebra-I'm still stuck

    The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated.

    asked by Rachal on February 3, 2011
  7. algebra

    State the inverse of the following function, AND state the Domain and Range of the inverse. f(x)=x-2

    asked by Emily on April 29, 2019
  8. Calculus

    If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I

    asked by Linda on September 3, 2016
  9. 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

    asked by Michelle on December 20, 2011
  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

    asked by Desperately seeking help on December 10, 2016

More Similar Questions