Math Problem Statement
Given the three functions below, which expression equals left parenthesis, c, circle, m, circle, p, right parenthesis, left parenthesis, x, right parenthesis(c∘m∘p)(x)?
c, left parenthesis, x, right parenthesis, equals, square root of, x, end square root, minus, 7, m, left parenthesis, x, right parenthesis, equals, x, cubed, p, left parenthesis, x, right parenthesis, equals, start fraction, 7, divided by, x, end fraction
c(x)=x−7m(x)=x3p(x)=x7
Answer
Multiple Choice Answers
left parenthesis, square root of, start fraction, 7, divided by, x, end fraction, end square root, minus, 7, right parenthesis, cubed(x7−7)3
start fraction, 7, divided by, left parenthesis, square root of, x, end square root, minus, 7, right parenthesis, cubed, end fraction(x−7)37
square root of, left parenthesis, start fraction, 7, divided by, x, end fraction, right parenthesis, cubed, end square root, minus, 7(x7)3−7
start fraction, 7, divided by, square root of, x, cubed, end square root, minus, 7, end fractionx3−77
Solution
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Math Problem Analysis
Mathematical Concepts
Composite Functions
Algebra
Radicals
Cubic Functions
Rational Expressions
Formulas
Composite function: (f ∘ g)(x) = f(g(x))
Square root function: √x
Cubic function: x³
Rational expression: 7/x
Theorems
Function composition
Properties of exponents and radicals
Suitable Grade Level
Grades 10-12