Question

Consider the function f(x) = sqrt(x+5)-3 for the domain [-5, ∞), Find f-1 (x) , where...

Consider the function f(x) = sqrt(x+5)-3 for the domain [-5, ∞),

Find f-1 (x) , where f-1 is the inverse of f.

Also state t he domain of f-1 in interval notation.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f....
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f. (b) Graph f and f −1 on the same set of coordinate axes. (c) Describe the relationship between the graphs. The graphs of f and f −1 are reflections of each other across the line y = (d) State the domain and range of f and f −1. (Enter your answers using interval notation.) 2. Consider the function. f(x) = x+3/x (a) Find the...
1- If ?(?)=3?5?+29?5?+1 find the inverse function. 2- State the domain of the function ?(?)=8?−94? 3-...
1- If ?(?)=3?5?+29?5?+1 find the inverse function. 2- State the domain of the function ?(?)=8?−94? 3- State the domain of the function ?(?)=5?−83?+5 in interval notation 4- State the domain of the function ?(?)=7?−8?−3 in interval notation. 5- State the domain of the function ?(?)=9?+1?2−3?−40 in interval notation 6- State the domain of the function ?(?)=8?+13?2−11?+8 in interval notation. 7- State the domain of the function ?(?)=8?−39?2+12?+13 in interval notation.
Find the inverse function of f(x)= 1+2cos(x) and then find the domain and the range of...
Find the inverse function of f(x)= 1+2cos(x) and then find the domain and the range of the function of both f and f^-1?? Find the inverse function of f(x)=sqrt(3-e^2x) and then find the domain and the range of the function of both f and f^-1??
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write...
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write in interval notation): Df:=_____________? b) Find the x- and y- intercepts. if any. (write your answers as ordered pairs). c) Find the asymptotes of f, if any. If there are not, write why. (write answers as equations). d) Find all of the critical numbers of f. on what intervals is f increasing/decreasing? show all work
4. Find the inverse function of f. State the domain and range (in interval notation) of...
4. Find the inverse function of f. State the domain and range (in interval notation) of the inverse function f exponent of −1 (x). f(x) = 4 + 5x all over 3x − 6
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4....
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4. domain (f∘g)
What can be said about the domain of the function f o g where f(y) =...
What can be said about the domain of the function f o g where f(y) = 4/(y-2) and g(x) = 5/(3X-1)? Express it in terms of a union of intervals of real numbers. Go to demos and obtain the graph of f, g and f o g. Find the inverse of the function f(x) = 4 + sqrt(x-2). State the domain and range of both the function and the inverse function in terms of intervals of real numbers. Go to...
Find the derivative of the function using the definition of derivative. g(x) = sqrt 9 −...
Find the derivative of the function using the definition of derivative. g(x) = sqrt 9 − x g' (x) = State the domain of the function. (using interval notation.) State the domain of its derivative. (using interval notation.)
Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...
Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b) Find the inverse of the function ff. (c) Find the function g/kg/k and its domain using the interval notation. (d) Simplify the expression [k(x+h)−k(x)]/h[k(x+h)−k(x)]/h.  
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x)...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x) = −|x + 8|   domain= range= 1b.   Consider the following function. Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. (Enter your domains using interval notation.) f(x) = x − 3 g(x) = x2 (f ∘ g)(x)= domain = (g ∘ f)(x) = domain are the two functions equal? y n 1c. Convert the radian...