Asked by Breauna
                Find each of the following functions.
f(x) = x2 − 3, g(x) = 5x + 2
(a) f compose g
State the domain of the function. (Enter your answer using interval notation.)
(b) g compose f
State the domain of the function. (Enter your answer using interval notation.)
(c) f compose f
State the domain of the function. (Enter your answer using interval notation.)
(d) g compose g
State the domain of the function. (Enter your answer using interval notation.)
            
        f(x) = x2 − 3, g(x) = 5x + 2
(a) f compose g
State the domain of the function. (Enter your answer using interval notation.)
(b) g compose f
State the domain of the function. (Enter your answer using interval notation.)
(c) f compose f
State the domain of the function. (Enter your answer using interval notation.)
(d) g compose g
State the domain of the function. (Enter your answer using interval notation.)
Answers
                    Answered by
            Steve
            
    f◦g = f(g) = g^2-3 = (5x+2)^2-3
g◦f = g(f) = 5f+2 = 5(x^2-3)+2
f◦f = f(f) = f^2-3 = (x^2-3)^2-3
g◦g = g(g) = 5g+2 = 5(5x+2)+2
the domain of all polynomials is all real numbers.
    
g◦f = g(f) = 5f+2 = 5(x^2-3)+2
f◦f = f(f) = f^2-3 = (x^2-3)^2-3
g◦g = g(g) = 5g+2 = 5(5x+2)+2
the domain of all polynomials is all real numbers.
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