Find an expression for:(𝑓𝑔)(𝑥)( gf )(x)left parenthesis, start fraction, f, divided by, g, end fraction, right parenthesis, left parenthesis, x, right parenthesisGiven the functions:𝑓(𝑥)=5𝑥+1𝑔(𝑥)=3𝑥−1f(x)g(x) =5x+1=3x−1
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Find an expression for:(𝑓𝑔)(𝑥)( gf )(x)left parenthesis, start fraction, f, divided by, g, end fraction, right parenthesis, left parenthesis, x, right parenthesisGiven the functions:𝑓(𝑥)=5𝑥+1𝑔(𝑥)=3𝑥−1f(x)g(x) =5x+1=3x−1
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Find the value of:(𝑓𝑔)(2)−(𝑔𝑓(4))(fg)(2)−( fg (4))left parenthesis, f, g, right parenthesis, left parenthesis, 2, right parenthesis, minus, left parenthesis, start fraction, g, divided by, f, end fraction, left parenthesis, 4, right parenthesis, right parenthesisGiven the functions:𝑓(𝑥)=1𝑥𝑔(𝑥)=3𝑥+1f(x)g(x) = x1 =3x+1
For the function f, of, x, equals, start fraction, 5, plus, 3, x, divided by, 2, minus, 3, x, end fractionf(x)= 2−3x5+3x , find f, to the power minus 1 , left parenthesis, x, right parenthesisf −1 (x).
For the function f, of, x, equals, start root, start index, 5, end index, left parenthesis, start fraction, x, divided by, 5, end fraction, right parenthesis, end rootf(x)= 5 ( 5x ) , find f, to the power minus 1 , left parenthesis, x, right parenthesisf −1 (x).
Simplify the expression2x2+5x+2x2+2x−3÷x2+4x+42x2−3x+12𝑥2+5𝑥+2𝑥2+2𝑥-3÷𝑥2+4𝑥+42𝑥2-3𝑥+1 and give your answer in the form off(x)g(x).𝑓(𝑥)𝑔(𝑥). Your answer for the function f(x)𝑓(𝑥) is : Your answer for the function g(x)𝑔(𝑥) is :
For the function f, of, x, equals, left parenthesis, 6, x, right parenthesis, start superscript, one third, end superscriptf(x)=(6x) 31 , find f, to the power minus 1 , left parenthesis, x, right parenthesisf −1 (x).
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