How do i find (f o g)(x) with the given equations?

Question

f(x)=2x-5

g(x)=x^2

 

Answer 1

Emma,

 

The notation here refers to the composition of two functions.  It is also written as:

 

f(g(x))

 

Then, f(x) becomes:

 

f(x²) = 2x² - 5 since we substitute the value of g(x) for x in f(x).

 

Hope this helps.