Math Problem Statement
For f left parenthesis x right parenthesis equals 5 x plus 7 and g left parenthesis x right parenthesis equals x squared comma find the following composite functions and state the domain of each. (a) fcircleg (b) gcirclef (c) fcirclef (d) gcircleg
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Composite Functions
Polynomial Functions
Domain of Functions
Formulas
f(x) = 5x + 7
g(x) = x^2
Composite function: (f ∘ g)(x) = f(g(x))
(g ∘ f)(x) = g(f(x))
Theorems
Polynomial Functions have domains of all real numbers
Suitable Grade Level
Grades 9-12
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