Answer:
Step-by-step explanation:
Given that there are two functions f and g as
[tex]f(x) = \sqrt{x} \\g(x) =4x+9[/tex]
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)[tex]fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}[/tex]
b) [tex]gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9[/tex]
c) [tex]fof = f(\sqrt{x} ) = \sqrt[4]{x}[/tex]
d) [tex]gog = g(4x+9) = 4(4x+9)+9\\= 16x+45[/tex]
