Let f(x) = x2 and g(x) = x + 5. write an expression that represents each composition:
a. g(f(4))
b. f(g(4))
c. (f ∘ g)(x)

(a) 21

(b) 81

(c)                  

Step-by-step explanation:

We have given the function

(a) We have to write the expression for given composition

Now first we find f(4)

So f(4) =

So

(b)

Now first we find g(4)

So g(4) =

So

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950