Question

Please help I don’t understand It’s composite functions

Answer 1

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 $g\circ f$ which is the composition of g with f is defined as follows;

$g\circ f = g(f(x))$

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) = $g(f(x))$ = (7·x + 8)⁴

From which we have (g ° f)(0) = (7·0 + 8)⁴ = 8⁴

Therefore,  (g ° f)(0) = 4096.