Question

Let f(x) = 5x – 26 and g(x) = 6x.

Part 1 [4 points] What is (f ◦ g)(x) ?
Part 2 [2 points] Use complete sentences to describe the method you used to solve this problem.

Answer 1

f(g(x))
= f(6x)
= 5(6x) - 26
= 30x - 26

f(g(x)) is f of g(x).
Thus, we substitute g(x) into the x-variable of f.
Next, we expand out the entire term, and then we are done

Answer 2

F[g(x)]=F(6x)=5(6x)-26=30x-26 answer......

Answer 3

(f ○ g)(x) = f( g(x) ) = f( 6x ) = 5(6x) - 26 = 30x - 26

Given a function of a function, sub in the entire inner function (g(x)) where ever you see x in the outer function (f(x)).

Answer 4

What would part 2 be exactly

Answer 5

It is defined to be the composition of f of g of x.... written as (f ○ g)(x).