Question

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(−1)).

g(f(−1)) =

Answer 1

You'll need to post the functions for f(x) and g(x)

Answer 2

Given f(x) = x − 7 and g(x) = x2 .

Answer 3

Is that what you meant?

Answer 4

yes

Answer 5

The inner function is f(x)
What is f(-1) equal to?

Answer 6

7?

Answer 7

f(x) = x-7
f(-1) = -1-7 .... x replaced with -1
f(-1) = ??

Answer 8

-8?

Answer 9

yes

Answer 10

now g( f(-1) ) will turn into g(-8)
Since f(-1) = -8, we can replace f(-1) with -8

Answer 11

now you just need to evaluate g(-8)

Answer 12

64?

Answer 13

correct

Answer 14

there is a 2nd part

Answer 15

second part?

Answer 16

Find f(g(−1)).

f(g(−1)) =

Answer 17

i see

Answer 18

so you'll need g(-1) first

Answer 19

the inverse

Answer 20

I think

Answer 21

it's not the inverse, but I can see what you mean

Answer 22

g(x) = x^2
g(-1) = (-1)^2 ... replace every x with -1
g(-1) = ??

Answer 23

ok...... would it be 2?

Answer 24

no

Answer 25

we are squaring -1

Answer 26

(-1)^2 = (-1)*(-1) = ??

Answer 27

oh

Answer 28

1 = 1?
so would it be (-1)^2 = (-1)*(-1) = 1

Answer 29

yes

Answer 30

g(-1) = 1
so f( g(-1) ) becomes f(1)

Answer 31

your last step is to find f(1)

Answer 32

-6?

Answer 33

correct

Answer 34

Thank you!

Answer 35

you're welcome

Answer 36

I'm really struggling lol

Answer 37

you did pretty good in my opinion

Answer 38

Thank you again

Answer 39

sure thing