Question

if m(x)= x+5/x-1 and n(x)=x-3, which function has the same domain as (m*n)(x)?

Answer 1

h(x) = 11/x-4       Sorry this is so late.

Answer 2

Using the domain concept, it is found that $f(x) = \frac{1}{x - 3}$ has the same domain as $(m \times n)(x) = \frac{x^2 + 4x - 5}{x - 3}$

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• The domain of a function is given by all possible values of the input.
• The functions are:

$m(x) = \frac{x + 5}{x - 1}$

$n(x) = x - 3$

• Their multiplication is given by:

$(m \times n)(x) = \frac{x + 5}{x - 1} \times x - 3 = \frac{(x + 5)(x - 1)}{x - 3} = \frac{x^2 + 4x - 5}{x - 3}$

• In a fraction, the denominator cannot be 0, thus, the domain is all real numbers except 3. A function with the same domain is one in which the numerator is changed while the denominator is the same, for example, $f(x) = \frac{1}{x - 3}$

A similar problem is given at https://brainly.com/question/10891721