Let f (x) = √x − 1 and g(x) = 1x − 2 .(i) State the domains for f and g, and the range of f .

Question

Let f (x) = √x − 1 and g(x) = 1x − 2 .(i) State the domains for f and g, and the range of f .
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

(i)

The domain of a function is the set of all possible input values (x-values) which will output real numbers.

For the function f(x) = √x - 1, the input x must be greater than or equal to 1. This is because the square root of a negative number is not a real number. So, the domain of f is [1, ∞) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Let f : [0, π] → R be defined byf (x) =(0 if x = 0,x sin 1x − 1x cos 1x if x̸ = 0.Is f continuous?

Verified Answer

Let f (x) = √x − 1 and g(x) = 1x − 2 .(i) State the domains for f and g, and the range of f .

Let f(x) be a real value function such that f(x)=2x−1x−2∀ x ∈ (2,∞) and g(x)=x2+1x+(f(x))2+1f(x)∀ x>2, then minimum value of g(x) is

Select one:a. f (x) = 1x+1+21𝑥+1+2b. f (x) = 1x−1+21𝑥−1+2c. f (x) = 1x−1−21𝑥−1−2d. f (x) = 1x+1−2

Let f, g : R → R+ defined by f (x) = 2x + 3 and g(x) = x2. Find (f ◦ g)(x) and (g ◦ f )(x)

1/3