Question

ALGEBRA HELP!!!!

Answer 1

it's not a really a question but how to solve these types of questions
Let f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Let f(x) = 2x + 2. Solve f−1(x) when x = 4.

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Let f(x) = x2 − 8x + 5. Find f(−1).

Answer 2

Do you know what an inverse is, and how to find it?

Answer 3

ya I know how to find an inverse

Answer 4

OK lets start with the first one.

IF \(f(x) = 9x-2\) and \(g(x) = -x+3\)

Then \(f(g(x)) = f(-x+3)=9(-x+3)-2\)

Do you see how I just replaced the \(x\) in \(f(x) \) with \(g(x)\)?.

Answer 5

ya

Answer 6

Now just simplify

Answer 7

okay let me do it on paper

Answer 8

for the second one, just find the inverse and then plug in 4

Answer 9

ok let me know when you have it, and we can finish the rest.

Answer 10

-9x+25

Answer 11

hello?

Answer 12

@zzr0ck3r

Answer 13

please i'm dying
I need help

Answer 14

f(x)=9x-2
f(g(x))=9g(x)-2
g(x)=-x+3
f(g(x))=9(-x+3)-2

Answer 15

f(x)=2x+2
let y=2x+2
x=(y-2)/2
put x=f-1(x) and y=x
f-1(x)=(x-2)/2
f-1(4)=4-2/2=1

Answer 16

in third case do the same way as in case one and put x=2

Answer 17

in fourth case simply put x=-1

Answer 18

sorry, had something come up