Question

use the graph of f and g to evaluate the functions
a. $(f + g)(7)$ b. $(f \circ g)(- 3)$
c. $\left( \frac{f}{g} \
ight)(- 8)$ d. $(g \circ f)(- 4)$
a. $(f + g)(7)=\square$
(simplify your answer.)
b. $(f \circ g)(- 3)=\square$
(simplify your answer.)
c. $\left( \frac{f}{g} \
ight)(- 8)=\square$
(simplify your answer.)
d. $(g \circ f)(- 4)=\square$
(simplify your answer.)

Explanation:

Step1: Identify f(7) and g(7)

From the graph, f(7) = -7, g(7) = 7.

Step2: Calculate (f+g)(7)

(f+g)(7) = f(7) + g(7) = -7 + 7 = 0.

Step3: Identify g(-3) and f(g(-3))

g(-3) = 3, then f(3) = -3.

Step4: Identify f(-8) and g(-8)

f(-8) = -8, g(-8) = 8.

Step5: Calculate (f/g)(-8)

(f/g)(-8) = f(-8)/g(-8) = -8/8 = -1.

Step6: Identify f(-4) and g(f(-4))

f(-4) = -4, then g(-4) = 4.

Answer:

0
-3
-1
4