What are the domain and range of the function f(x)= 3^x + 5?

Domain: (-∞,∞)

Range: (5,∞)

Option 2 is correct.

Step-by-step explanation:

Given:

It is an exponential function with base 3.

Domain: It is input value of x for which function defined.

All real number.

Range: It is output value of y for all defined value of x.

(c,∞)

For given function

As we know exponential function defined for all real value of x.

Thus, Domain: All real number

Domain: (-∞,∞)

Horizontal asymptote, y=5 . Range is either above asymptote or below asymptote.

If coefficient of parent function is positive then above else below.

Here initial value is 3 which is positive.

Thus, Range: All real number greater than 5

Range: (5,∞)

Hence, The domain is (-∞,∞) and range is (5,∞)

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