## anonymous one year ago Consider the functions f(x) = 2x + 1 and g(x) = x2 − 10. What is the value of f[g(3)]? 39 −3 −7 -1

1. nincompoop

you start from the inside then work your way through outside

2. nincompoop

first, solve g(x) since you are being asked to solve g(3) in the innermost function.

3. anonymous

x^3-10?

4. anonymous

-10?

5. anonymous

@pooja195

6. Nnesha

g(3) here x =3 so replace x by 3 not the exponent...

7. anonymous

so (3)-10?

8. Nnesha

and where is exponent 2 ??

9. anonymous

(3)^2-10?

10. Nnesha

$\huge\rm g(\color{reD}{x}) = \color{red}{x}^2 -10$

11. Nnesha

yes right!

12. Nnesha

and then substitute g(3) into f(x) function

13. anonymous

yikes, idk how

14. Nnesha

so what is g(3) =??

15. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @lealealea222 (3)^2-10? $$\color{blue}{\text{End of Quote}}$$ =what ?

16. anonymous

-1

17. nincompoop

so what is g(3) ?

18. anonymous

i think -1

19. nincompoop

okay now use f(x) being that x is -1

20. anonymous

21. nincompoop

look at this and tell me what you observe given: f(x) = 2x + 1 and g(x) = x2 − 10 $$f(x) = 2(x^2-10) +1$$

22. nincompoop

tick tock tick tock lol

23. anonymous

man...

24. anonymous

idk haha

25. nincompoop

did you notice that I put the g(x) function into the f(x) function

26. anonymous

yes

27. nincompoop

look at it again

28. anonymous

you put them together

29. anonymous

i think its -3

30. nincompoop

how so what is $$2 \times (-1)$$

31. anonymous

-2x

32. nincompoop

|dw:1437249964034:dw|

33. nincompoop

it's not variable x, but the multiplication operation

34. nincompoop

use the number line I drew and place where -2 is

35. anonymous

oh ok let me do that again

36. anonymous

-2

37. nincompoop

use the number line I drew and place where -2 is

38. nincompoop

click the pencil icon on the upper right hand corner of my drawing so you can use it

39. anonymous

|dw:1437250193058:dw| ?

40. nincompoop

when you are adding, do you move the point to the left towards the negative infinity or to the right towards the positive infinity?

41. anonymous

toward the right

42. anonymous

toward the right

43. anonymous

?

44. anonymous

i gtg

45. nincompoop

CORRECT SO WHAT HAPPENS FROM -2 WHERE WILL IT IF YOU +1

46. anonymous

-1

47. anonymous

THAMLS

48. anonymous

thats thankyou ^

49. anonymous

i just turned it in, i got it right