Advanced functions/precalculus

posted by .

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form:
a) g(f(x))
b) when f(g(x))=g(f(x))

2. If f = {(-10, 1), (-1, -1), (10, 0), (11, 7)} and g = {(-1, -1), (0, 10), (1, -10), (7, 11)} for how many values of x is f x g defined? Explain

3. Given f(x) = -2x + 3 and g(x) = 3x + 4, x ε R, use the sketches of both functions to graph (fg)(x) on the same graph. Show your work.

  • Advanced functions/precalculus -

    #1.
    g(f) = f+2 = x^2+2
    f(g) = g^2 = (x+2)^2
    so, when do we have

    x^2+2 = (x+2)^2
    ?

    #2.
    f and g are both defined only on {-1}

    #3.
    visit wolframalpha.com
    (fg)(x) = -6x^2+x+12

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math/Check!

    a. An ellipse is formed by stretching the graph of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of the ellipse in standard form x^2/a^2+y^2/b^2=1 (x/3) ^2+ (y/4) ^2=1 x^2/9 + y^2/16 …
  2. advanced functions

    Find an equation with the given form in each case below. y=sin through(Ï/2, 0)
  3. Precalculus

    Evaluate all six trigonometric functions at t, where the given point lies on the terminal side of an angle of t radians in standard position. (40/41, -9/41)
  4. Precalculus Someone please help

    Evaluate all six trigonometric functions at t, where the given point lies on the terminal side of an angle of t radians in standard position. (40/41, -9/41)
  5. Advanced Functions

    Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9
  6. advanced functions/precalculus

    1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a)g(f(x)) b)when f(g(x))=g(f(x)) for #1 would the answer for a be x^2+2?
  7. advanced functions/precalculus

    1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following …
  8. math-advanced functions

    on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.
  9. Pre-Calc/Trig

    How?? I only know how to convert standard form functions into intercept form, but I do not understand how to do this. Convert the functions into standard form. 1.y=2(x-4)(x+3) 2.y-2=-3(x+4)^2
  10. math

    Determine the trigonometric functions (sin θ, cos θ, tan θ ) of the angles (in standard positive) whose terminal side passes through the given point (x, y)=(1.2, 0.5). Give answers in exact form.

More Similar Questions