Please answer the following questions with solution, thanks
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x +...
Please answer the following question completely, showing all your work. Thanks for the help its highly appreciated! 1 1-x Let f(x)-ex and g(x)-- a. Find the domain and range of each function b. Draw the graph of gof and find its domain and range c. Find the inverse of gof, also find the domain and range of this inverse 1 1-x Let f(x)-ex and g(x)-- a. Find the domain and range of each function b. Draw the graph of gof...
Write the equation of the square root function described. The function value, f(x), is an ordered pair,(x,f(x) , on a circle of radius 5 with its center at the origin of a coordinate system. (Hint: The equation for a circle of radius r and its center at (0,0) x^2+y^2=r^2) and what value of r is the known surface area of a sphere, given by the function S(r)=4πr^2, numerically equal to the known volume of the sphere given by the function...
Question 1 The functions f(x) g(x) and h(x) are defined as follows: f(x) = e* XER g(x) = x x 20 h(x) = 2x + 1 XER [3 marks] Find fg(x) and state its domain and range Find hf (x) and state its domain and range Find hº(x) and state its domain and range __[3 marks] (1111) [3 marks] WA (b) The figure below shows the graph of y=-x-shifted to four new positions. Write an equation for each new graph....
Consider the function f (x)=3* - 6, identify the following key features: State the domain using interval notation: State the range using interval notation: Write equation(s) of any asymptotes: State the x-intercept(s) (as ordered pairs): State the y-intercept(s) (as ordered pairs): The inverse of f(x) is:
please solve the question 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o 5(-1)" In n 1/2 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
Question 1 Consider a function f (2) with domain 3 << 7 and range -3 < f (x) < 9 a) Find the domain and range of g (x) = f (5x). Domain: <3< Range: 59(2) b) Find the domain and range of -h (2) + 7. Domain: sos Range: <9() <
answer all please! 1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this means f(x) is a function with domain (-1,4 ) and range (3,7] And f(x) is known to have an inverse function; f(x) Find the domain and range of f(x) f-1(x): HINT: x by y's 2. Inverse functions of well known functions – find the inverse function-use proper notation - an inverse function is not a single sided express if f(x) =x, the inverse function...
17. Given the function f(x) = ? answer the following questions: [4 Points] x+1 (a) What is the inverse function f-(x)? Show all work that leads to the final answer. (b) What is the Range of f-1(x)? 18. Determine whether the following functions represent linear data, exponential data or neither. [4 Points). f(x) х -1 g(x) 5 1 0 16 1 4 1 4 Х -1 0 1 2 3 o 2 7 1 2 3 16 Linear, Exponential or...