Question

f(x)= x/x+1 and G(x)= 9-x^2, find f(g(-3))

Answer 1

Just like with order of operations, you need to evaluate f(g(-3)) from the inside of the parenthesis outward. What is g(-3)?

Answer 2

do you multiply g(x) by -3?

Answer 3

no, g(-3) means to evaluate the function g(x) for the x input value of -3

Answer 4

g(x) is a rule that says, given the input of x, please square x and subtract it from 9

Answer 5

oh okay thank you.

Answer 6

once that is done, i have gotten an answer of zero. how do i put 0 into the x values of f(x)? would it just come out as 0/1?

Answer 7

sorry, got pulled away a min.

Answer 8

yes, so once you get g(-3) = 0, now you have a new input for the next function moving outward, f(x). the input for f(x) is x=0, since g(-3)=0

Answer 9

0 / (0 + 1) = 0, so f(g(-3)) = 0

Answer 10

also, for the future, there is nothing "magic" about the function names... "f" is just the name you give to a function... the function is a rule of what to do with an input.

so f(x) = 2x and g(x)=2x actually describe the same function, and you could say f(x) = g(x) = 2x

Answer 11

or you could call it h(x)... whatever... it's a function of input x that produces an output based on whatever the rule says.

Answer 12

thank you so much makes way more sense now

Answer 13

glad to help :)

Answer 14

i have precalc take home and am about completly clueless. so im thankful for any help i can get :)

Answer 15

Good luck... this is a good place to get help... just make sure you are understanding the solutions when people help... if you just take the answers and finish the exam and have no real idea what you're doing, it's going to come back to haunt you later in the year.

Answer 16

thank you.