Domain of 4 Expressions

[nycmathguy]

Let R = all real numbers

For part (a), the domain is R.

For part (b), I must set denominator to 0 and solve for t.

t - 1 = 0

t = 1

t + 3 = 0

t = -3

The domain is R except for t = 1 and t = -3.

For part (c), a, b, and c are constant. The expression is a quadratic. The domain is R.

For part (d), I will rewrite the expression.

4x + 3(x^-1) can be rewritten as 4x + 3/(x).

I say the domain is R except for x = 0.

 

[MathLover1]

perfect

 

[nycmathguy]

perfect

It's always good to revisit the early topics.