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

 (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 which is the composition of g with f is defined as follows;

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) = = (7·x + 8)⁴

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

Therefore,  (g ° f)(0) = 4096.

we need the options

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!