Question

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of f[g(−4)]? −12 3 −13 8

Answer 1

plug -4 into the g function and then plug that answer into the f function.

Answer 2

thank you

Answer 3

wait would the g function be -4-5 and then i work it out

Answer 4

@jim_thompson5910

Answer 5

it would be +5 (not -5)

Answer 6

g(x) = x + 5

g(-4) = -4 + 5 ... replace every x with -4

g(-4) = ________ fill in the blank and tell me what you get

Answer 7

-1

Answer 8

no 4 sorry

Answer 9

-1 is close but not quite there

Answer 10

4 isn't correct either

Answer 11

1

Answer 12

draw a number line. Start at -4 and move 5 spots to the right

Answer 13

yes +1 or just 1

Answer 14

g(-4) = 1

this means that g(-4) is the same as 1

Answer 15

f[g(−4)] would turn into f(1) which is equal to what?

Answer 16

is it -11

Answer 17

f(x) = x^2 - 13

f(1) = (1)^2 - 13 ... replace every x with 1

f(1) = ________ fill in the blank and tell me what you get

Answer 18

`is it -11`
the answer isn't -11

Answer 19

you're close though

Answer 20

11

Answer 21

what is (1)^2 equal to?

Answer 22

2

Answer 23

1^2 is not the same as 1 times 2

Answer 24

if you wanted to say 1 times 2, you'd write 1*2

Answer 25

https://www.mathsisfun.com/exponent.html

1^2 means 1 with the exponent of 2

1^2 is the same as \(\Large 1^2\)

Answer 26

ok so it it 12

Answer 27

closer but no

Answer 28

Start at 1. Then move 13 units to the left on the number line

Answer 29

-13

Answer 30

let's say you started at 1 and moved 3 spots to the left. Where do you end up?

Answer 31

-3

Answer 32

look at a numberline like this

http://www.mathatube.com/sitebuilder/images/number-line-600x271.png

Answer 33

-2

Answer 34

yes now do the same for 1-13

start at 1 and move 13 units to the left

Answer 35

-12

Answer 36

yes so 1-13 is equal to -12

Answer 37

meaning that -12 is the answer

Answer 38

thank you

Answer 39

you're welcome