Question

functions and their inverses
the tables for ( f(x) ) and ( g(x) ) are shown.

for ( f(x) ):

( x )	( -5 )	( -2 )	( 1 )	( 5 )
( f(x) )	( -11 )	( 1 )	( 13 )	( 29 )

for ( g(x) ):

( x )	( -5 )	( -2 )	( 1 )	( 5 )
( g(x) )	( -7 )	( -1 )	( 5 )	( 13 )

what is the value of ( (f - g)(5) )?
options: ( 42 ), ( -4 ), ( 16 ), ( -18 )

Explanation:

Step1: Recall function subtraction rule

$(f-g)(x) = f(x) - g(x)$

Step2: Find $f(5)$ from the table

From the $f(x)$ table, when $x=5$, $f(5)=29$

Step3: Find $g(5)$ from the table

From the $g(x)$ table, when $x=5$, $g(5)=13$

Step4: Calculate $(f-g)(5)$

$(f-g)(5) = 29 - 13$

Answer:

16