If f(x) = x2 – 2 and g(x)=x-3, what is (fog)(x)?

So first we have to know what (fog)(x) means. Whenever we have the notation (fog)(x) or (gof)(x) or whatever variables (hof)(c) it means that we put the function closest to the x in the other function.

Basically for (fog)(x) this means put g(x) in f(x)

For (hof)(c) this means put f(c) in h(c)

For (gof)(x) this means put f(x) in g(x)

So now we can proceed with the problem.

f(x) = x^2 - 2 (I assume you wrote x squared) and g(x) = x - 3. Find (fog)(x)

So we are going to put g(x) in f(x). So wherever there is an x in f(x) we are gonna replace that with x -3:

f(g(x)) = (x-3)^2 - 2

If we want we can foil this out:

(x-3)(x-3) - 2

x^2 - 6x + 9 -2

or x^2 - 6x + 7

So: (fog)(x) = x^2 - 6x + 7

*If you meant 2x the process is the same but will give you a different answer*

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.