Question

Please help ASAP!
Let f(x)=x^2+5 and g(x)=x+5/x . find (g ∘ f) (-3).
Thanks!

Answer 1

can help

Answer 2

cool :)

Answer 3

one sec tho i need to restart my comp. its being glitchy

Answer 4

At first u need to find value of f(-3) which will cum out to be (-3)^2+5 which is 14

Answer 5

Then u can similarly find the value for g(14l

Answer 6

Sorry it was meant to be g(14)

Answer 7

My answer choices are 1/4, 14/19, 19/14, 49/9
Is the answer 14/19 ?

Answer 8

hint:
we can write, by definition of compposed function:
\[\large \left( {g \circ f} \right)\left( 3 \right) = g\left( {f\left( { - 3} \right)} \right) = f\left( { - 3} \right) + \frac{5}{{f\left( { - 3} \right)}} = ...?\]

Answer 9

so it's 19/14 ?

Answer 10

sorry I have made a typo, here is the right formula:
\[\Large \begin{gathered}
\left( {g \circ f} \right)\left( 3 \right) = g\left( {f\left( { - 3} \right)} \right) = \frac{{f\left( { - 3} \right) + 5}}{{f\left( { - 3} \right)}} = \hfill \\
\hfill \\
= \frac{{14 + 5}}{{14}} = ...? \hfill \\
\end{gathered} \]

Answer 11

so, you are right!

Answer 12

Yay! Thank you

Answer 13

:)

Answer 14

Thank you everybody