Question

Find f(g(-2) if f(x)=x^2 -5 and g(x) =3x^2+1

Answer 1

compute first \(g(-2)\). this a value \(a\).
then compute \(f(a)\). that's all.

Answer 2

I got 164

Answer 3

it's correct.

Answer 4

I have more problems if you could help

Answer 5

ok

Answer 6

Ill upload a photo of the questions, their all mutiple choice too

Answer 7

im ready… (but you are the one who computes ;))

Answer 8

These are the ones I need help with

Answer 9

choose a question for which you'd like some explanation, say what you did about it so I can adapt the answer

Answer 10

Lets start from the top

Answer 11

For this I got f(x)-2x-4

Answer 12

for the first question I recommend you write \(y=2x-4\) and try to transform this to obtain an equation of the form \(x = ...\). that will give you the expression of \(f^{-1}\).
if you did not have an answer yet, do that and then say what you got.

Answer 13

Were just supposed to find the inverse

Answer 14

Not solve

Answer 15

what's your answer? try to write the steps too.

Answer 16

it was C

Answer 17

look at the photo

Answer 18

it's not C. you need to remember what is \(f^{-1}\). given a function \(f\) that sends x's and y's, the function \(f^{-1}\) is the function that finds which x is associated with which x. So you must "invert" the function. That means,
from an equation of the form "y = stuff with x" you need to get an equation of the form "x = stuff with y". this expression is actually \(f^{-1}(y)\).

Answer 19

typo: which x is associated with which y.

Answer 20

y = 2x - 4 is the starting point.
the next step to the equation "x = ..." is the equation:
y + 4 = 2x. ok? continue this job and give the answer

Answer 21

ok

Answer 22

I got A

Answer 23

hmm.
what is the step after "y+4 = 2x" ?