Question

What’s the domain and range for f(t)=90-52ln(1+t)

Answer 1

Domain: (-1, ∞)

Range: (-∞, ∞)

Explanation:

DOMAIN:

In logarithmic functions, inside the parenthesis of the logarithm has to be >0. This is because you cannot make a positive number negative with exponents

Our equation

...
`52ln(1+x)\\1+x>0\\x>-1`

Range:

The range of logarithmic equations is (-∞, ∞).

This is because, as
`(1+x)` approaches 0, the natural log of numbers smaller than
`e` become more and more negative. The limit of the function as
`(1+x)` is infinity