Question

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

Answer 1

(g ° f)(0) is 4096

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.