Consider the functions f(x) = 2x + 1 and g(x) = x2 − 10. what is the value of f[g(3)]?

39
−3
−7
−1

Option (d) is correct.

Step-by-step explanation:

Given : and

We have to find the value of

Since, we have to calculate

represents a composition of function f(x) and g(x)

We first find g(3) that is value of g at x = 3

Substitute x = 3 in g(x), we have,

thus, at x = 3 , we have

now,  becomes

Thus, now we calculate f(x) at x = -1

thus we have,

 at x = -1 , we have,

Thus,  

Option (d) is correct.

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: