The composite function of g o f is √2x+14.
A composite function is a function that depends on another function. It is combining two or more functions as a single function.The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).
For the given situation,
The functions are
f(x) = √x + 7
g(x) = 2x + 3
The composite function, g o f can be calculated as
⇒ g o f = g(f(x))
⇒ g o f = [tex]g(\sqrt{x} +7)[/tex]
Now,
[tex]g(\sqrt{x} +7) = 2( g(\sqrt{x} +7))[/tex]
⇒ [tex]g(\sqrt{x} +7) = \sqrt{2}x+14[/tex]
Hence we can conclude that the composite function of g o f is √2x+14.
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