Question

Let f(x) = 1/x-3 and g(x) = square root x+5. What is the domain of (f o g) (x)

Answer 1

Answer:

The domain of  (f o g)(x) is {x | x $\neq$ -2}

Step-by-step explanation:

The denominator cannot equal zero. Therefore, any number that makes the denominator equal zero is excluded from the domain of (f o g)(x)

Answer 2

answer: [-5, 4) U (4, ∞)

(f o g) (x) means

put g(x) where x is in f(x)

1/(square root x+5)-3

1/√(x+5)-3

another way to write it is

(-3 - sqrt(5 + x))/(4 - x)

cant have 0 at the bottom

√(x+5)-3 = 0

√(x+5) = 3

x+5=9

x=4

so x cannot = 4

domain of the function will be expressed as [-5, 3) U (3, ∞)

Using and it can be concluded that the domain of is all real numbers except 0.

https://brainly.com/question/23490913

https://brainly.com/question/23639725

gathmath

.