Use the following functions to answer the questions: f(x)=√x+3, g(x)=2x+9, h(x)=x4 . Evaluate f(g(2)) .

Step-by-step explanation:

Step one:

given that the functions are

f(x)=√x+3,

g(x)=2x+9,

h(x)=x4 .

To Evaluate f(g(2)) , we need to find g(x=2)=2x+9,

substitute x=2 in g(x)=2x+9,

g(x=2)=2(2)+9,

g(x=2)=4+9,

g(x=2)=13

Step two:

now we can substitute  g(x)= 13 in the function  f(x)=√x+3

that is x=13

 f(g(2)) =√g(x)+3g(x)=13

f(g(2)) =√13+3

f(g(2)) =√16

f(g(2)) =4

Hence f(g(2))  is 4

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