What is the mistake in Vadim's work? Evaluate composite functionsYou might need:CalculatorGiven:f(b) = V26 +1g(b) = 28 – bVadim tried to evaluate (go f)(-4), but he made a mistake. Here is his work.Step 1 (go f)(-4) = f(g(-4))Step 2g(-4) = 28 – (-4)= 32Step 3f(g(-4)) = f(32)= /2(32)+1= V64 +1= 53 of 4Check Evaluate composite functionsStep 1 (go f)(-4) = f(g(-4))Step 2g(-4) = 28 – (-4)= 32Step 3f(9(-4)) == f(32)= V2(32) +1||V64 +1%3|What is the mistake in Vadim's work?Choose 1 answer:(g o f)(-4) = g(f(-4)), not f(g(-4).Ag(-4) = 24, not 32.f(32).9 not 5.3 of 4Check

Answered: Image /qna-images/answer/a757b0d9-ba5f-4f68-acd0-3413453850f9.jpg

You might need: | Calculator Given: f(b) = V26 + 1 g(b) = 28 – b Vadim tried to evaluate (g o f)(-4), but he made a mistake. Here is his work. Step 1 (go f)(-4) = f(g(-4)) Step 2 g(-4) = 28 – (-4) = 32 Step 3 f(g(-4)) = f(32) /2(32)+1 = V64 +1

You might need: | Calculator Given: f(b) = V26 + 1 g(b) = 28 – b Vadim tried to evaluate (g o f)(-4), but he made a mistake. Here is his work. Step 1 (go f)(-4) = f(g(-4)) Step 2 g(-4) = 28 – (-4) = 32 Step 3 f(g(-4)) = f(32) /2(32)+1 = V64 +1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 25E

See similar textbooks

Related questions

Q: For the following exercise, use the function h(t)= -16t2+80t to find the values h(a)-h(1) / a-1

Q: x² -8x + 15

Q: 1) Find the following integals: la) s x* dx 14) S(2? -x) d« Ic) Sz de

Q: 3 Here is a cube of side length 3 cm. eminic 3 сm 3 сm 3 сm Draw a net of the cube. Use the grid bel...

Q: Write each statement in exponential form. log91/81 = -2 log6(x) = -1

A: i. Given logarithmic expression, log9181= -2

Q: A farmer is putting up a fence for his animals. He originally had the fence enclosing a square area....

Q: The eigenvalues of the matrix A = 1 3 4 2 are 55 and −2−2. For each real number x , find ...

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 32 in,...

A: The given data is: The length of a rectangle is 4 in longer than its width. The perimeter of the rec...

Q: How long will it take for $1, 000 to be worth $2, 500 at 9 % interest, compounded continuously? Roun...

Q: What is the answer to 2x-7 =54

A: Finding the value of ' x '

Q: When put on a coordinate plane, 1st street has the equation y=6x-7. 2nd street is parallel to 1st st...

Q: Directions: Solve the following by multiplying by the inverse of the fractional coefficient. 11. n/6...

A: Solve equation by multiplying inverse of fractional coefficient

Q: 4. A poster is 25 cm taller than it is wide. It is mounted on a piece of card- board so that there i...

Q: Solve for x: x2 + 15 = 8x Enter the factored form for the equation: %3D Enter the solutions, lowest ...

Q: 1 6) Given the formula: R, 1 1 Find RT when R1 = 9.252, R2 = 8.502 and R3 = 6.802 1 R, R, R, +

Q: A rectangle has a perimeter of 196 centimeters. If the length of the rectangle is 6 times its width,...

Q: Select the correct answer. The quadratic function fhas a vertex at (3,4) and opens upward. The quadr...

A: Given both are upward open parabolas, for upward open parabolas the minimum value occurs at the vert...

Q: . ) The set B = {4x² – 4, 4x – 20 + 20z², 37 – 8z - 36x²} is a basis for P. Find the coordinates of ...

Q: Resubstitute the value into the original equation to find the corresponding variable

Q: Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the ...

Q: 5. State the transformations in words that have been applied to the graph y = x' to get the graph of...

Q: use long division to divide. specify the quotient and the remainder. (-x^2-3) divided by (x+1) qu...

Q: Complete the three ordered pairs so that they are solutions to the equation y= 12x-6. y 9. 2.

A: Given y=12x-6

Q: Relation R is given by matrix 1 0 0 0 0 ...

Q: Solve 8 sin(2a) + 3 cos(a) = 0 for all solutions 0 < a < 27 %3D a = Give your answers accurate to at...

Q: Example 3: Fruit Stand A fruit stand sells two varieties of strawberries: standard and organic. A bo...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other questions as n...

Q: Rewrite the equation in terms of base e. y= 95(4.5)^x

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2r* – 3a 3,3 1522 + 32x – 12 = 0

A: To solve: 2x4-3x3-15x2+32x-12=0

Q: Cataulate dF 10) Consider the integral F (x) : tx dt . Catarlate df for x = 1. dx

Q: write an equation in slope-intercept form of the line that passes through the points (2,15) and (5,2...

Q: ; Let P2 denote the vector space of all polynomials in the variable z of degree less than or equal t...

Q: f (x) = – x³ + x² - 3 as x -o0 f (x) → -0 as x -0 f (x) →-∞ as x → +o ƒ (x) as x → +oo S) → +∞ A as ...

Q: Determine the solution of the following differential equations. Show your complete and simplified so...

Q: Directions: Simplify these problems by combining like terms. 13. 12q - 4 + 10q - 4q +9 = 14. 21k -...

Q: 4/-10

A: Given: 4/-10

Q: 3x Use the unit circle to find the value of sin and periodic properties of trigonometric functions t...

A: Unit circle for trigonometric ratios (given in question).

Q: The eigenvalues of the matrix A = 1 3 4 2 are 55 and −2−2. For each real number ?, find the rank ...

A: The eigenvalues of the matrix: A=1342 has 5 and -2 as eigenvalues.

Q: 21 If sin(x) = (x in Quadrant IV), find 22 - Round answers to 4 decimal places. sin COS 2 %3D tan

A: Given that:- sin(x)=-2122 x in Quadrant IV We have to find, sinx2=? cosx2=?tanx2=?

Q: (2 - I) 4) Calculate Ahe integral se dz

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx From ...

Q: 2. Let V be an inner product space. Show that if u and v are orthogonal unit vectors in V, then ||u ...

Q: a a-b %3D SX

A: Follow step 2nd.

Q: The dillerence belween uhe squares of two numbers is 16. Four times the square or the eased by the s...

Q: An initial deposit is made in a bank account. Find the interest rate, r, if the interest is compound...

Q: State the Kestrictim ond simplhiy of you con x²-5x-6 2?-36 42²-2xy

A: Here, we will be simplifying the above expressions. x+3x=xx+3x=1+3x

Q: Quiz Grade Frequency 100 98 95 92 88 85 80 75 What is the mode of this data on quiz scores? II

A: For the frequency distribution, mode of the data is the observation with highest frequency.

Q: The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect...

A: Given lengths of diagonals of parallelogram are 20 and 30 inches they intersect at an angle of 350 w...

Q: Which irrational number can be multiplied by: 41 to get a product that equals 1 41 O -41

A: We can find the answer as below

Q: How can you relate the following situations into quadratic functions? a. The number of kilograms of ...

Q: 1. x2 + 5x +6

Q: Using the graph of the function f(x) = ax² as reference, where a = 1, sketch the graph of the follow...

Question

What is the mistake in Vadim's work?

Evaluate composite functions
You might need:
Calculator
Given:
f(b) = V26 +1
g(b) = 28 – b
Vadim tried to evaluate (go f)(-4), but he made a mistake. Here is his work.
Step 1 (go f)(-4) = f(g(-4))
Step 2
g(-4) = 28 – (-4)
= 32
Step 3
f(g(-4)) = f(32)
= /2(32)+1
= V64 +1
= 5
3 of 4
Check

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here