Question

5 and 6? i got 3 for both

Answer 1

Hey there!

5. f(4) is 3. f(3) is 2. Thus, f[f(4)]=2

6. g(2) is 3. g(3) is 1. g[g(2)]=1

Hope this helps :)

Answer 2

Based on the graphs of these functions f(x) and g(x), the output values and input value include the following;

1. g(3) = 1.
2. (f + g)(2) = 5.
3. f(g(4)) = 2.
4. g(f(4)) = 1.
5. f(f(4)) = 2.
6. g(g(2)) = 1
7. g(x) = 3, if x = 2.

In Mathematics and Geometry, a function defines and represents the unique relationship that exists between two or more variables in a relation, table, ordered pair, or graph.

By critically observing the graphs of these functions f(x) and g(x), we can logically deduce the following output values and input value;

Part 1.

g(3) = 1.

Part 2.

(f + g)(2) = f(2) + g(2)

(f + g)(2) = 2 + 3

(f + g)(2) = 5.

Part 3.

f(g(4)) = f(1)

f(g(4)) = 2.

Part 4.

g(f(4)) = g(3)

g(f(4)) = 1.

Part 5.

f(f(4)) = f(3)

f(f(4)) = 2.

Part 6.

g(g(2)) = g(3)

g(g(2)) = 1

Part 7.

g(x) = 3, if x = 2.

g(2) = 3.