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January 25, 2015

January 25, 2015

Posted by **Diane** on Wednesday, January 15, 2014 at 2:24am.

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 -
**Steve**, Wednesday, January 15, 2014 at 6:35am#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

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