F (x) = 4x - 1

g (x) = x2 - 2

(f + g) (9) = ?

A. 118

B. 112

C. 119

D. 114

E. 116

F. 111

G. 110

H. 115

I. 113

J. 117

J. 117

Step-by-step explanation:

f (x) = 4x-1

if f (2) = 4 (2) - 1

f (2) = 8-1 = 7

f (2) = 7 equation 1

g (x) = x2-2

if g (4) = (4) 2-2

g (4) = 8-2 = 6 equation 2

Now,

(f+g) (9) = ?

subtitute equation 1 and 2

(7+6) (9) = ?

(13) (9) = ?

13*9 = 117

Hence, the answer is 117

D

Step-by-step explanation:

Find (f + g) (x) then evaluate (f + g) (9)

(f + g) (x) = f (x) + g (x)

= 4x - 1 + x² - 2 = x² + 4x - 3

Now substitute x = 9 into the expression

(f + g) (9) = 9² + 4 (9) - 3 = 81 + 36 - 3 = 114 → D