Question

If f(x) = 2x + 1, and g(x) = x - 3, then f(g(x)) = [ ? ]x + [ ]

Answer 1

Answer:

First box +2

Second box -5

Step-by-step explanation:

Just an Example,

If f(x) = 2x + 1  and we need f(2) we would replace the x in the function with the number 2 because 2 is the domain of the function , so f(2) would become,

f(2) = 2(2) + 1

f(2) = 4 + 1 = 5

Now the question is what is f(g(x)) in this case the domain of the function is g(x). In simpler words we replace x with the function g(x) so here goes,

$f(x)=2x+1\\g(x)=x-3\\f(g(x))=2(x-3)+1\\f(g(x))=2x-6+1\\f(g(x))=2x-5$

so,

f(g(x)) = 2x - 5