Question: Two functions f and g, are defined as below: f(x) = 2-x3g(x)= 5/x - 7 a) Find the inverse function of f(x) b) Find the

Two functions f and g, are defined as below:

f(x) = 2-x3g(x)= 5/x - 7

a) Find the inverse function of f(x)

b) Find the composite function gf (x)

c) Solve gf (x) = 0 giving your answer to 2 decimal places

d) Find gg(x) writing your answer in its simplest form.

e) Sketch g(x), for -5x10

f) On the same sketch draw g-1 (x)without making any calculations.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

12 13 14 15 16 17 18 Suppose H (x) = 2 Vx - 3. Find two functions f and g such that (fog) (x) = H (x). Neither function can be the identity function. (There may be more than one correct answer. ) f (...

Q:

A ALEKS - Shannon Montgome F -> C a www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-lis1WHQv7rHh0j2icTeSIC4Q0KrKWOC-WYA3KDdLFHbeGX9FmvgUauPnzyq8H8TwyOMb Algebra Exam Question 8 of 20 (1...

Q:

Example below: Two functions f and g are defined in the figure below. 2 3 3 5 7 7 7 Domain of f Range of f Range of g Find the domain and range of the composition g of. Write your answers in set...

Q:

Suppose that the functions / and s are defined for all real numbers x as follows. r (x) =4x s (x) = 3x- Write the expressions for (str) (x) and (s .r) (x) and evaluate (s-r) (-2). ( s + r) (x) - 0 (...

Q:

example: Two functions f and g are defined in the figure below. Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g of. Write your answers in set notation....

Q:

example: Two functions f and g are defined in the figure below. Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g of. Write your answers in set notation....

Q:

The functions f and g are defined as follows. f (x) =x - 2x -6 and g(x)= 5x - 1 9x - 4 Find f (x + 7) and g N/ X Write your answers without parentheses and simplify them as much as possible. f (x +...

Q:

Suppose that the functions f and g are defined as follows. f (x) = -,x#0 X g (x) =x -4 Find the compositions fo f and go g. Simplify your answers as much as possible. (Assume that your expressions...

Q:

The functions f and g are defined as f x x 4 g x x 7 f a Find the domain of f g f g f g fg ff g b Find f g x f g x fg x ff x 1 x Simplify your answer 9 and 9 1 x and f g x x 4 x 7 Simplify your...

Q:

Good day! I need your urgent help to answer the following problem. I only have 1 hr left. Thank you in advance. A.) Given that f and o are defined by f ( x) = x- 1 and g(x) - 7 find : (9 ) gog ( b )...

Q:

Write a summary of a recent news or journal article related to a topic CSR framework.

Q:

BarGraphs Corp. had capacity to produce 4,000 units of L3 using 40,000 kg of direct materials. BarGraphs produced 3,850 units of L3 by processing 35,500 kg of direct materials. Conversion cost per...

Q:

Predetermined Overhead Rate, Overhead Application At the beginning of the year, Ilberg Company estimated the following costs: Overhead $416,000 Direct labor cost 520,000 Ilberg uses normal costing...

Q:

Problem 2B. (15 POINTS) Uncle Ulysses operates a small business: he produces three types of houses to sell to people wanting to get back to nature. Based on your discussion with your uncle you...