+1450 The graphs of two linear functions, f(x) and g(x), are shown here on one set of axes:
Each small box in the grid is 1 unit by 1 unit. Evaluate f(g(1)) * g(f(1)).
ASAP answers would be greatly appreciated! Thanks so much!
+9466 Evaluate f( g(1) ) * g( f(1) )
First we need to find g(1) and f(1) .
On the orange line, when x = 1 , y = -2 . So when x = 1, g(x) = 2 . g(1) = -2
On the blue line, when x = 1 , y = 1.5 . So when x = 1 , f(x) = 1.5 . f(1) = 1.5
So........
f( g(1) ) * g( f(1) ) = f( -2 ) * g( 1.5 )
Now we need to find f( -2 ) and g( 1.5 ) .
On the blue line, when x = -2 , y = 3 . So when x = -2 , f(x) = 3 . f(-2) = 3
On the orange line, when x = 1.5 , y = -1 . So when x = 1.5 , g(x) = -1 . g(1.5) = -1
So......
f( g(1) ) * g( f(1) ) = f( -2 ) * g( 1.5 ) = 3 * -1 = -3
+9466 Evaluate f( g(1) ) * g( f(1) )
First we need to find g(1) and f(1) .
On the orange line, when x = 1 , y = -2 . So when x = 1, g(x) = 2 . g(1) = -2
On the blue line, when x = 1 , y = 1.5 . So when x = 1 , f(x) = 1.5 . f(1) = 1.5
So........
f( g(1) ) * g( f(1) ) = f( -2 ) * g( 1.5 )
Now we need to find f( -2 ) and g( 1.5 ) .
On the blue line, when x = -2 , y = 3 . So when x = -2 , f(x) = 3 . f(-2) = 3
On the orange line, when x = 1.5 , y = -1 . So when x = 1.5 , g(x) = -1 . g(1.5) = -1
So......
f( g(1) ) * g( f(1) ) = f( -2 ) * g( 1.5 ) = 3 * -1 = -3
