If function / is defined by f(x) = x2 - 2x + 6
and function g is defined by g(x) = 3x - 4,
what is f(g(

21

Step-by-step explanation:

Start with the inside first.

The inside is g(3).

g(3) can be found by using function, g.

g(x)=3x-4 so g(3)=3(3)-4=9-4=5.

So now we have that:

f(g(3))

f(5)

We can find f(5) by replacing x in the expression x^2-2x+6 with 5:

(5)^2-2(5)+6

25-10+6

15+6

21

This means f(g(3))=f(5)=21

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb