If f(x)=6 and g(x)=4x+1, find (fog)(x)

Question

asked Oct 24, 2020 205k views

1 Answer

Ravikanth · Answer 1 · 2020-10-29T15:10:51+0000

The definition

f(x)=6

means that f always outputs 6, no matter the input. So, if you want to compute the composition

$(f\circ g)(x)$

It means that you want to compute f giving as input the result of g(x):

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

But no matter the input:
$f(\cdot)$ is always 6! So, we have

$(f\circ g)(x) = f(g(x)) = 6$

for every possible x.