[24pts] Let f(x) = 2x+4 and g(x) = 3x + 6. a) [4pts] Are f and...

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[24pts] Let f(x) = 2x+4 and g(x) = 3x + 6. a) [4pts] Are f and g linear functions? If so, what are their slopes? b) [4pts] Find a formula for f(g(x)) c) [4pts] Find a formula for g(f(x)) d) [4pts] Are f(g(x)) and g(f(x)) linear functions? If so, what are their slopes? e) [8pts] Let's do this in general now: Let now f(x) = mx + b₂ and g(x) = m₂x + b₂. where m₂. m₂, b₁,b₂ are constants. Find a formula for f(g(x)). If is a linear function state what is the slope. Find a formula for g(f(x)). If is a linear function state what is the slope. [24pts] Let f(x) = 2x+4 and g(x) = 3x + 6. a) [4pts] Are f and g linear functions? If so, what are their slopes? b) [4pts] Find a formula for f(g(x)) c) [4pts] Find a formula for g(f(x)) d) [4pts] Are f(g(x)) and g(f(x)) linear functions? If so, what are their slopes? e) [8pts] Let's do this in general now: Let now f(x) = mx + b₂ and g(x) = m₂x + b₂. where m₂. m₂, b₁,b₂ are constants. Find a formula for f(g(x)). If is a linear function state what is the slope. Find a formula for g(f(x)). If is a linear function state what is the slope.