QUESTION 4 Suppose the functions f, g, h and l are defined as follows: f (x) 4x2 – 5x + 1 9 (x) V2- 2 2,/2 h (x) 1 +3 I (x) log4 (r+ 3) – log4 (x – 2) . 4.1 Write down Df and solve the inequality ƒ (x) < 0. 4.2 Solve the equation g(x) = –4. 4.3 Solve the equation 4() = 8. %3D 4.4 Write down Dị and solve the equation 1(x) = 5.

Q: Question 32 dx Evaluate: (x+1) log(x+1) A) -In 10 log2 (x+1) + C 2 B --log² (x+1)+C 2 In 10…

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Q: QUESTION 4 Suppose the functions f, g, h and l are defined as follows: f (x) 4x² – 5x + 1 9 (x) 2,…

A: The domain of the function is all the possible values attainable by x or the independent variable of…

Q: 7. If the graph of y = f(x) contains the point (- 2, 7), then the graph of y = f'(x) will contain…

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Q: Question 2 The range of the function y = log7x is O a R Ob-o, 7) Oc (0. ) Od (7. 00)

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Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: Question 13 Express log x+ 5log y as a single logarithm. 2 A log + 5y log(Vay*) O log(I+y*) D log +

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Q: Question 10. Let y : R+R be the real-valued function defined on the real line, which is the solution…

A: giveny'+xy=xthis is a linear differential equationcompare this equation withy'+Py=Qwhere P=x  and…

Q: Question 4 ( :) Algebraically find the domain of each function. Show all your work. a. f(x) = V2 -…

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Q: Question 2: The definition of the exponential function involving the limit of h going to zero…

A: The function is fx=ex. Differentiate it: f'x=ex Then at c = 0.01, f'0.01=e0.01≈1.01 Perform…

Q: QUESTION 9 If 5(3^x) = 10, which of the following would equal x? O A. log10/log8 OB. log10 - log15…

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Q: QUESTION 8 sin –|(– i) = - o- i log(1+ /2) oi log(1 + /2) -i log(1 – /2)

A: Given that: sin-1(-i)

Q: Question 8 The function g(L) = 600L23 represents the number of units produced in L working hours.…

A: We will find out the required value.

Q: Question 7 Evaluate: A B с dx (x+1) log(x+1) In 10 In [log(x+1)] + C 1 -In[log(x+1)] +C In 10 -log²…

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Q: Find the equation of the line ll illustrated in the figure above, given that f(x)=10xf(x)=10x and…

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Q: Question 21 dx Evaluate: S (x+1) log(x+1) (A) In 10 log² (x + 1) + C 2 B In[log(x+1)] +C In 10 C…

A: We need to evaluate integral.

Q: Question 1: Please approximate the value of the exponential function at r = 0.01 using the first…

A: The objective here is to approximate the value of the exponential function at x=0.01.

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

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Q: Question 8 Identify the exponential function from bie graph Not yet answered Marked out of 1.00 P…

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Q: Question 8 Solve the equation for x: log30 x + log30 (x – 1) = 1. If a solution doesnt work, enter…

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Q: 2. Now, consider the function S(z) = ra Follow a similar pattern to the one explained in class and…

A: Solve the following

Q: Question 17 Solve for r: log, r + log,(r + 2) = 4

A: Given:          log4x+log4x+2=4  Apply log rules:       logbP+logbQ=logbPQ       log4xx+2=4…

Q: > Question 22 if y = log3 x find y' xina 01 2/xina

A: To differentiate..

Q: The graph of the function f(x)=log9(x) is stretched vertically by a factor of 4, reflected over the…

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Q: QUESTION 3 Solve the equation for y in terms of x. In y+9 In x = 1.3863 1.3863 y =' O y- O y=4-x9…

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Q: Question 10. Let y : R →R be the real-valued function defined on the real line, which is the…

A: The given initial value problem is y'=-xy+x  , y0=2 It can be rewritten as y'+xy=x  , y0=2. It is…

Q: and the range is The exponential function f with base b is defined by f(x) = , b>0 and b 1. Using…

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Q: - If you know that log4 x = 2 and log5 x(2y – 1) = 1 calculator 7x + 10y – 1 Between which of the…

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Q: 1.  Solve: 32x−1 − 4 · 3x + 9 = 0.

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Question 1 (a) Consider the function f : [0, 2 + e) → [1, 11) given by 2+ 6x – x2 if x E [0, 3) f(x)…

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Q: Question 2 d Let ar cos log3(x)) = ksin(f(x)) g(x)In3 Compute k+f(9) + g(-3)

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And ddxlogax=1xlna   From…

Q: Step 1 of 2: Is (9,1) on m(x) log(x + 1) ? %3D

A: Point (9, 1) means i.e. at x = 9  ,   m(9) = 1    Let's see what value we get when we put x = 9 in…

Q: Question 3 (i) Given that log, x+2log, y = 4 show that xy =16. Hence solve for x and y the…

A: Answer

Q: QUESTION 5 S(x) = A-x and g(x) = x+2 Find (f o g)(1). O 2 O Undefined O 1 QUESTION 6 Given logx = -3…

A: topic - functions

Q: QUESTION 16 Find the domain of f(x)=log(x – 7)-

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Q: Problem: 4 a. Solve loga(x – 1) – loga (x + 6) = loga(x – 2) – loga(x + 3). b. Solve (e*)*.e*² = e12…

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Q: Example 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log…

A: Refer to the question we need to find the value of x of the provided logarithm equations as,

Q: The function f1x2  log9 x is the logarithm functionwith base . So f192  ,f112  , fA19B  , f1812…

A: Given logarithm function is fx=log9x. We know that if logarithm function is logax then base is a.…

Q: Question 28 dx Evaluate: Tx (x+1)log(x+1) 1 A -log² (x+1)+C 2 1 ® --In 10 log² (x + 1) + C B 2 (C)…

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Q: QUESTION 15 Solve for x: Log2(3-x)+log2(1-x)=3 T TTF Paragraph V Arial 3 (12p XD Q fx Mashups EE 目

A: Using logarithmic property

Q: 2. Now, consider the function f(z) = r= Follow a similar pattern to the one explained in class and…

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Q: Question 5 1 pts – 2x+5 To find 4 (In(-2a+5 we should use the logarithmic property. That is to…

A: We use the logarithmic property log(m/n)=logm-logn

Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: We can answer question no 3 and 4 as below

Q: Question 1 Which of the following is not an exponential function? y = (0.75)*-1.2 O y = -43x + 5 O y…

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Q: Problem 1: Solve the equation: (4x – 5)4 = 81. - Problem 2: Determine the inverse of the function:…

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Q: QUESTION 7 Express as a single logarithm and, if possible, simplify. - log ax + 3 log a y - 3 log a…

A: Use property of log

Q: QUESTION 4 The graph of f (x) = log, x is drawn below. B 16 ;p| is a point on f. 3 16 9 4.1 For…

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Q: Question 16 5+ -5 -4 -3 -2 -1 -2 -4 Select the name of the toolkit function in the graph. Select an…

A: f(x)=log(x)Domain: {x: x&gt;0}Range: Set of real numbers.

Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

A: As per the company guidelines, we are supposed to answer only first 3 subparts in case of multipart…

Q: Question 5) Give the best big-O estimate ( 0(?) )for the following function? Show all the steps of…

A: Use the properties of the big-O estimate to solve for the following function. Solve the two terms of…