Math 242 Combining Functions Name
1. Use the table definitions of f(x) and g(x) shown below to find the indicated value.
x 1.0 1.5 2.0 2.5 3.0 3.5 x 1.0 1.5 2.0 2.5 3.0 3.5
f(x) 1.5 3.5 2.5 2.0 1.0 3.0 g(x)2.0 3.0 3.5 1.0 1.5 2.5
(a) ( f + g )(2.5) (b) ( g + f )(1.0)
(c) ( f – g )(2.0) (d) ( g – f )(3.0)
(e) ( f⋅g )(1.5) (f) ( g⋅f ) (3.5)
(g) ( f ÷ g )(1.0) (h) ( g ÷ f )(2.5)
(i) (
f
gD)(3.5) (j) (
f
gD)(3.0)
(k) (gfD)(2.5) (l) ( gfD)(1.5)
(m) (
f
fD)(1.0) (n) ( ggD)(2.0)
2. Use the graphs of f(x) and g(x) shown below to find the indicated value.
f(x) g(x)
(a) ( f + g )(1) (b) ( g + f )(0)
(c) (
f – g )( –1) (d) ( g – f )(3)
(e) ( f⋅g )(2) (f) ( g⋅f ) (–2)
(g) (
f ÷ g )(–3) (h) ( g ÷ f )(4)
(i) (
f
gD)(–4) (j) (
f
gD)(2)
(k) (gfD)(3) (l) ( gfD)(–2)
(m) (
f
fD)(1) (n) ( ggD)(–3)
