Answer:
(g ° f)(0) is 4096
Step-by-step explanation:
Here we have a question on composite functions;
Where we have two functions, g(x) and f(x) the composite function or composition function [tex]g\circ f[/tex] which is the composition of g with f is defined as follows;
[tex]g\circ f = g(f(x))[/tex]
To get (g ° f)(x) we substitute f(x) in g(x) as follows;
f(x) = 7·x + 8 and g(x) = x⁴
Therefore, (g ° f)(x) = [tex]g(f(x))[/tex] = (7·x + 8)⁴
From which we have (g ° f)(0) = (7·0 + 8)⁴ = 8⁴
Therefore, (g ° f)(0) = 4096.
