Question

f(x) =
3x^2 - 6
__________
x^ + 2x
h(x) = 6x + 2
Find: f(h(-0.5))
( ---- means its an fraction) Please helpp !!!

Answer 1

we first,
find
\[h(-0.5)=?\]

Answer 2

so, what do you get?

Answer 3

i dont get it at all i tried i dont get the answer thats one of the choices

Answer 4

@amandaschlor you solve h(x) using -0.5 as your input, then you take the output from that and plug it into your f(x) as its input, once you have solved f(x) you will have your answer.

Answer 5

input & output?

Answer 6

A function is like a machine, you give it "input" and it spits out "output". So whatever you plug in for 'x' is your input, and the results from the math is your output.

Answer 7

They ask you to solve f(h(-0.5)), so you start by feeding -0.5 into h(x).
h(x) = 6x + 2 => h(-0.5)=6(-0.5)+2

Answer 8

so then what would you do?

Answer 9

Solve that and plug the answer in for each 'x' in your f(x) equation.

Answer 10

just find h(-0.5) first.
dont check the answer yet

Answer 11

ploug in -0.5 for x in the equation for h(x) what do you get?

Answer 12

i dont get any of the choice answer, the choices are, 10,44,3,7 && i got 5?

Answer 13

like I said, do not check with the answer yet.
just do it step by step
what value do you get for h(-0.5)?

Answer 14

i am just so confused i dont get any of this.

Answer 15

good.
so,
do this step
find h(-0.5) = ?

Answer 16

plug in x=-0.5 in the equation for h(x)

Answer 17

okay i did it equals -1

Answer 18

Now take your -1 and plug it for every 'x' in your equation for f(x)\[\frac{3x^{2} - 6}{x^{2} + 2x}\] to get your final answer.

Answer 19

\[
f(h(-0.5))=f(-1)=\frac{3(-1)^2-6}{(-1)^2+2(-1)}=?
\]