- #1

karush

Gold Member

MHB

- 3,269

- 5

$\left[

f(x)=x-2,

\quad

g(x)=\dfrac{x}{x^2+1}\right]$

find $f(g(-2))$

(A) $\dfrac{-11}{5}$

(B) $\dfrac{-4}{17}$

(C) $-3$

(D) $\dfrac{14}{85}$

(E) $\dfrac{-12}{5}$

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Solution

find $g(-2)$

$$\dfrac{-2}{(2)^2+1}

=\dfrac{-2}{5}$$

then solve $f(-2/5)$

$$\dfrac{-2}{5}-2

=\dfrac{-2}{5}-\dfrac{10}{5}

=\dfrac{-12}{5}\quad (E)$$

hopefully ok ... typos ... suggestions

is it possible to draw a horizonal line here \hline or \hrule not

also how do you use the hide/show option if you want to hide the solution