Question

For f(x)=3x and g(x)=x+1(f o g)(x) =?

Answer 1

Answer

$(f\circ g)(x)=3x+3$

Explanation

The composite function can be rewritten as:

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

meaning that we have to replace all the x in f(x) with g(x).

In our case:

• f(x) = 3x

,

• g(x) = x+1

Then, we can write and simplify it as:

$(f\circ g)(x)=3(x+1)$$(f\circ g)(x)=3x+3$