Question

f(x)=2x+1g(x)= 3x+1h(x)=2xITEM BANK: Move to Topf(g(h(x))drag and drop answer here12x+89(f(h(x))drag and drop answer here12x+7h(f(g(x))drag and drop answer here12x+612x+5h(g(f(x))drag and drop answer here12x+4g(h(f(x))drag and drop answer here12x+3f(h(g(x))drag and drop answer here

Answer 1

Given:

f(x)=2x+1

g(x)= 3x+1

h(x)=2x

a) To find f(g(h(x)):

$\begin{gathered} f\mleft(g(h(x))\mright)=f(g(2x)) \\ =f(3(2x)+1) \\ =f(6x+1) \\ =2(6x+1)+1 \\ =12x+2+1 \\ =12x+3 \end{gathered}$

Hence, the solution is 12x+3.

b) To find g(f(h(x)):

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