The functions f and g are defined by these sets if input and output values.

g = (1, 2), (-2, 4), (5, 5), (6,-2)

f = (0,-2), (4, 1), (3, 5), (5, 0)

a. Find g (f (4))

b. Find f (g (-2))

c. Find f (g (f (3)))

Question

Mathematics

Frederick

20 December, 12:05

The functions f and g are defined by these sets if input and output values.

g = (1, 2), (-2, 4), (5, 5), (6,-2)

f = (0,-2), (4, 1), (3, 5), (5, 0)

a. Find g (f (4))

b. Find f (g (-2))

c. Find f (g (f (3)))

+3

Answers (1)

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Beatrice Haas · Answer 1

(x, y)

x=input

y=output

example

we see

g = (1,2)

theefor

g (1) = 2

a.

f (4) = 1

g (1) = 2

g (f (4)) = 2

b.

g (-2) = 4

f (4) = 1

f (g (-2)) = 1

c.

f (3) = 5

g (5) = 5

f (5) = 0

f (g (f (3))) = 0

The functions f and g are defined by these sets if input and output values.g = (1, 2), (-2, 4), (5, 5), (6,-2)f = (0,-2), (4, 1), (3, 5), (5, 0)a. Find g (f (4))b. Find f (g (-2))c. Find f (g (f (3)))

The functions f and g are defined by these sets if input and output values.

g = (1, 2), (-2, 4), (5, 5), (6,-2)

f = (0,-2), (4, 1), (3, 5), (5, 0)

a. Find g (f (4))

b. Find f (g (-2))

c. Find f (g (f (3)))