Answered: If f(x) = x² + x + 1 and g(x) = x-4,…

Math

Algebra

If f(x) = x² + x + 1 and g(x) = x-4, find the following. f+g (b) f-g (c) fog (d) gof (e) f(g(3)) (1) g(f(3)) (9) gogog

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CT: Test

Problem 6CT

See similar textbooks

Related questions

Q: Perform the indicated operations and write the result in standard form. - 12+√√-45 24 *** - 12+√√-45…

Q: √−1²+16 √x+2 + 7-x √x-2

Q: Suppose you got 90 % of the questions on your last test correct. If there were 130 equally weighted…

A: Suppose you got 90% of the questions on your last test correct. If there were 130 equallyweighted…

Q: 2.3 58° K 38⁰ Law of sines: sin(A) = sin(B) = sin(C) a b Which measures are accurate regarding…

Q: Kylie has started a small bakery and has recorded the number of cupcakes sold each day for the first…

Q: -2x+12 For the function, f(x) = 2 (a) f(6) x+5 (b) f(-6) (a) f(6) = (Type an integer or a decimal.)…

Q: 50 P N 3 N C 2- - + 9-

Q: Can you arrange the numbers 1 through 16 on a 4 by 4 grid so that all rows, columns, and major…

A: The given magic square:11471211813251031696154

Q: Consider the following problem: Maximize: x1 + 3x2 ≤ 5 Subject to: x1 - 2x2 ≤ 0 -2x1 + x2 ≤ 4 5x1 +…

A: Graphical Solution:Start by graphing each constraint on a coordinate plane.Convert each constraint…

Q: Explain without much calculation how you know that 2, 3, 5, 7, 11, 13, and 17 are not factors of n =…

A: Remainder theorem

Q: Consider the universal set R, define the interval A = [-7, 1], interval B = (-1,2), and C be the…

A: To solve using interval notation

Q: 6. Find the missing values in each number pattern. a) 1.1, 2.2, 4.4, 8.8, 17.6,

A: The nth term in a geometric sequence with first term a and common ratio r is given by

Q: Given the functions f(x)=x²-x, g(x)=√x 14. (g-f)(A) find expressions for the following:

A: The given functions and .The aim is to find the expression for .

Q: Write the equation of the line with undefined slope which passes through the point (-8, 12) in…

A: slope of line = undefined passes through ( -8 , 12 )The line which has undefined slope is a vertical…

Q: Find L[e²t4²]

A: To find the Laplace transform of e2tt2, L[eatf(t)]=F(s−a)Where F(s) is the Laplace transform of…

Q: Jackson reads that 1 kilogram is equivalent to 2.205 pounds. He asks his teacher how many pounds…

A: This is question of algebraHere are number is given We have to use approximation to solve the…

Q: 6. Let f(x)= f(x) = (a) Calculate f(x) for each value of x in the following table. - 4.9 - 4.999 X…

Q: The graph of r(x) = 3 (0.5)*6 is given. r(x) -5-4-3-2 I T -5 -0 y=-6 -7 -8 -9 I ܙ ܗ ܗ ܝ ܚ ܚ ܝ 1 2 3…

A: The graph of is given

Q: what are the domain and range of the function pictured in the graph

A: Solution-The domain refers to the set of possible input values. The domain of a graph consists of…

Q: For the following exercises, evaluate f(−3), ƒ(2), ƒ(–a), -f(a), f(a+h). 27. f(x)=2x-5 28. f(x) =…

Q: The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is…

Q: Line 1: Passes through (0, 7) and (2, -13) Line 2: Passes through (-1, 12) and (6, -58) slope of…

Q: A company produces very unusual CD's for which the variable cost is $20 per CD and the fixed costs…

Q: A survey of 500 farmers showed that of the farmers, 127 grew only wheat, 112 grew only corn, 92 grew…

A: Note :As per guidelines we support only three parts of the questions.kindly repost next questions in…

Q: The answer above is NOT correct. Find the polynomial of degree 4 whose graph goes through the points…

Q: y ========= C x

A: If a vertical line intersects the graph more than once then the curve is not a function

Q: Solve each of the following problem: Jawbreakers =13 Jolly Ranchers =5 Suppose you had a new…

A: solution of a problem to find is it correct or not the first part, where ratioes are equal and the…

Q: upport Roster 10 -8 -6 -4 10 -2 8 6 4- 2 -4 -6 -8 -10 Find the slope of the line. 2 4 6 8 10 Slope =…

Q: Graph and write in interval notation the following: 8. (3,9) U[-2,8]

Q: 3+ f(x) +ㄹ + ㅜ -5- 123 910

A: To find the domain and range of the function pictured in the graph.

Q: A hamburger costs 30c more than a hot dog and 200 less than a cheeseburger. If 3 hamburgers cost…

A: Let Price of Hamburger Let price of hotdog Let cheeseburger Given that and

Q: Graph the inverse of the function f (x) = −2x + 4.

Q: Consider a car whose position, s, is given by the table t (s) 0 0.2 0.4 0.6 0.8 1 s (ft)…

A: Consider a car whose position, s , is given by the table

Q: A farmer was asked how many chickens he had sold at market that day. His reply was: "I've had four…

Q: Evaluate the indefinite integral. sects (0) tan (0) de (Express numbers in exact form. Use symbolic…

A: The given integration is

Q: Evaluate the following expressions when a is 4 3a+5

Q: The exponential function k(x) increases at a rate of 75% through the ordered pair (0,5) and…

Q: survey asks 160 people "What beverage do you drink in the morning?", and offers choices: Coffee…

Q: [{e¹-²)U(t-2)} = Oa. e-2³ S-1 Ob. e-2s S-2 Oc. e (S-1)² Od. e-²s e2 5²

Q: For each function, determine whether it is a polynomial function. Function (a) u (x) = 5x³+ (b)…

Q: The table models the exponential function g(x). x –1 0 1 2 3 y 25 10 4 1.6 0.64 Find the percent…

Q: At the same theater in the previous problem, a 16-ounce soda costs $3 and a 32-ounce soda costs $5.…

A: At the same theater in the previous problem, a 16-ounce soda costs $3 anda 32-ounce soda costs $5.…

Q: Complete the following: (a) 4 000mm = (b) 3.25m = (c) 120k/h (d) 0.75kg/L = cm m m/s g/mL

Q: Solve the problems using Polya's Problem Solving Steps Mr. Jones has a total of 25 chickens and cows…

A: The four-step procedure that are included in Polya's method are as follows:1. Understand the…

Q: (-3x+5)(-x+3). Drag and drop the terms to the correct locations of the table. (-3x+5)(-x+3) Answer…

Q: Define the linear transformation T by T(x) = Ax. 1 A- [6 -13] = 0 (a) Find the kernel of T. (If…

Q: S -2 -4 -6 -8 -10 T RS

Q: plan X monthly $20 with a charge of $0.05 . Plan Y monthly feee $5 with a charge of $0.10 per text.…

Q: Write an equation for a line g(x) parallel to f(x) = -7x - 3 and passing through the point (2, -12).…

A: f(x)= -7x-3We have to find g(x) parallel to f(x) and passing through the point (2,-12)

Q: A research scientist estimates that the human body contains 88 pounds of water for every 100 pounds…

A: Given:The human body contains 88 pounds of water for every 100 pounds of body weight.Estimate the…

Question

If f(x) = x² + x + 1 and g(x) = x-4, find the following.
f+g
(b) f-g
(c) fog
(d) gof
(e) f(g(3))
(1) g(f(3))
(9) gogog

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: description of the given information

VIEW

Step 2: calculating f+g

VIEW

Step 3: calculating f-g, fog, gof

VIEW

Step 4: calculating f(g(3)), g(f(3)), gogog

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the difference quotient. f(x)=x2x+5
Graph f(x)=3x26x4 by using its properties.
Graph: f(x)=3x1
Explain the meaning of G(4,3,2) and calculate its value.
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.