Question: Calculate the composite functions g and g , and determine their domains. (x) = 1/x , g(x) = x 4

Calculate the composite functions ƒ ◦ g and g ◦ ƒ, and determine their domains.

ƒ(x) = 1/x , g(x) = x−4

Step by Step Solution

★★★★★

3.60 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fgx x... View full answer

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 Calculus 4th Questions!

Q:

Calculate the composite functions f g and g f, and determine their domains. 27. f (x) =x, g(x) = x + 1 29. f(x) = 2x , g(x) = x2

Q:

Calculate the composite functions f g and g f, and determine their domains. 31. f() = cos , g(x) = x3 + x2 33. f(t) = 1/t, g(t) = t2

Q:

Corporate Venture Capital at Eli Lilly Read the case study and answer the following questions: What is the role of corporate venture capital? What is your assessment of Lilly Ventures? What should...

Q:

Calculate the composite functions g and g , and determine their domains. () = cos , g(x) = x 3 + x 2

Q:

Calculate the composite functions g and g , and determine their domains. (x) = |x|, g() = sin

Q:

I Given functions f and g, construct the composite functions ( g) (x) and (g ) (x). f(x) = g(x) = X -x--6 Then, determine each composite function's domain using interval notation. (Express numbers...

Q:

3. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Functions Course Packet on the composition of functions Let f(x) = 2x2 - 4x + 9 and g(x) = 3x + 1. Determine the rule for the composite...

Q:

Math 110 Course Resources Functions Course Packet on the composition of functions Let f(x) = 3x2 + 2 and g(x) = \\ 4x + 1. Determine the rule for the composite functions fog and go f. (f o g) (x) =...

Q:

Don't know what I'm doing wrong Let f(x) = 3x2+ 9x - 1 and g(x) = 3x + 2. Determine the rule for the composite functions fog and go f. (f o g) ( x) = (go f ) ( x ) = -/1 Points] DETAILS Math 110...

Q:

Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (900' Find the domain of (:)(X), (Enter your answer using interval notation.) 9 1. [-18 Points] DETAILS SPRECALC7...

Q:

The following gives the number of accidents that occurred on Florida State Highway 101 during the past 4 months: Month Number of Accidents January ........... 30 February.......... 40 March...

Q:

What is external bench marking and why do companies do it?

Q:

40. Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving three calls in a 5-minute interval of time. b. Compute the...

Q:

Articulate the benefits that win over customers.

Q:

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is...

Q:

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string have been let out?

Q:

Two sides of a triangle are 4 m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle...

Q:

A total of 7,000 units of product remain in the Quality Testing department at the end of the year. Direct materials are 65 percent complete and direct labor is 25 percent complete. Calculate the...

Q:

Non-profit Management, Case 7.1. Which elements of capacity described in the McKinsey & Company capacity-building framework are reflected in the strategic plan of New Hope Housing?

Q:

Anester Corporation is preparing a master budget for the first quarter. The company budgets production of 2,080 units in January, 2,200 units in February and 2,540 units in March. Each unit requires...