Which option below best describes why the domain of g(x) = 5–x is all real numbers but the range of g is not all real numbers?

1 answer:

4 0

The reason why the domain of g(x)=5⁻ˣ has a domain of all real numbers while the range is not is because, every real number value of x makes perfect sense as an exponent, that means there no restrictions because there are divisions by zero or the square root of the negative number.
The reason why the range is not all real number is because of the negative exponent. This will limit the range to positive real numbers only.

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How do you solve 4x+10=3x+37

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Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 10 = 3x + 37

Step 2: Solve for x

Subtract 3x on both sides: x + 10 = 37
Subtract 10 on both sides: x = 27

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(27) + 10 = 3(27) + 37
Multiply: 108 + 10 = 81 + 37
Add: 118 = 118

And we have our final answer!

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