Question

F(x)= 3x-2 g(x)= x-1 ​

Answer 1

By using the general formula for the composition of two functions, we will get:

How to find the compositions of functions?

For two functions f(x) and g(x), we define the composition as:

f o g (x) = f( g(x))

So we are evaluating a function in another function.

In this case, the functions are:

f(x) = 3x - 2

g(x) =x - 1

Then the compositions, evaluated in the correspondent values are:

f o g (2) = f( g(2)) = f( 2 - 1) = f(1) = 3*1 - 2 = 1

g o f (-1) = g( f(-1) ) = g( 3*-1 - 2) = g(-5) = -5 - 1 = -6

g o g (-2) = g( g(-2)) = g( -2 - 1) = g(-3) = -3 - 1 = -4

f o g (-3) = f( g(-3)) = f( -3 - 1) = f(-4) = 3*-4 - 2 = -14

Then we conclude that the compositions are equal to:

• f o g (2) = 1
• g o f (-1)  = -6
• g o g (-2) = -4
• f o g (-3) =  -14

If you want to learn more about composition of functions:

brainly.com/question/10687170

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