Using the functions f(x) = 5x - 12 and g(x) = 11x + 2 to complete the function operations listed below. part a: find (f + g)(x). show your workpart b: find (f × g)(x). show your workpart c: find f[g(x)]. show your work

A) (f + g)(x) = f(x) + g(x) = (5x-12) + (11x+2) = 16x-10

B) (f × g)(x) = f(x)×g(x) = (5x-12)×(11x+2) = 5x(11x) -12(11x)+2(5x) -12(2) = 55x² -122x -24

C) f(g(x)) = 5(11x+2) -12 . . . . substitute g(x) for the x in f(x)

... = 55x +10 -12 = 55x -2

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

1/800 is the right answer