Find the domain of the function. (Enter your answers using interval notation.) (a) f(t) = In(4t – 7) g(x) = log(x2 – 25) (b)

Q: Find the exponential function f(x) = ab® that satisfies the conditions f(0) = f(3) 2 and - 54. -…

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Q: f(x)=log9(x^2+7x−8) Our function has x-intercept(s) at

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Q: When comparing the f(x) = x² + 2x and g(x) = log(2x + 1), on which interval are both functions…

A: Sol:- fx=x2+2x< 0⇒xx+2<0Find the signs of the factors of xx+2 x2+2x<0  :  Solution:…

Q: The spread of a highly contagious virus in a high school can be described by the logistic function…

A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

Q: B. Find the domain of each function. 1. f(x)=1+x 2. f(x) =1-V 3. h(x) = x-4 4. F(x) = x-1 5. G(x) =…

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Q: Consider the function f(x) = -5x* – 11æ³ +x² + 2x – 17. What is the 3 smallest number n such that…

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Q: f(x)=log2(x2+3x+2) The asymptote(s) of the function is

A: The function f( x) have two asymptotes since the oredere of the function is 2 = x2 + 3x + 2 The…

Q: Find a so that the graph of f(x) = loga x contains the point (2, 2).

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Find the function of the form y = log,(x) whose graph is given. y = y 1.0F 0.5 (4, 1/3) 1 2 3 4 5…

A: We have to find logarithm function

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

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Q: Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=4 and f(-3)= 256/1.…

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Q: The equation of the vertical asymptote for the function y= 4 log(x + 3) is Ox = 3 x = -3 Ox = -4 Ox…

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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: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

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

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: Find the domain of the function. g(x) = log(2 + x - x2)

A: Given, gx=log2+x-x2

Q: Consider the function f (x) = log10 x.   Find the ratio of x1 to x2  given that f (x1 ) = 3n and f2…

A: Solution:x1 Consider the given log function. f(x) = log10x For x1,  f(x1)  = log10x1 we have given…

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

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Q: Find the domain of the function, f(x) = log(x² – 1)

A: Domain of a function is defined as the possible inputs for the function.  Range of a function is the…

Q: 8. Let f(x) = log,(3x² – 2). For what value of b is f'(1) = 3?

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Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: 4. f (x) = log2 x and g(x) = vx – 4. What is the domain of f( g(x))and g(f(x))?

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Q: Write the equation of the asymptote for this function: f(x) = log2(x - 1).

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Q: 1. Find the domain of each function in interval notation. a. f(x) =x² +10x+16 1 b. g(x) = x x+3 x-2…

A: Topic  =Functions As per guidelines , at a time only three sub-parts of a question can be answered.

Q: 1. What is thex-intercept of the function y= log, (3x+ 4) 2? %3D

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 3. Find the implied domain for the following functions: (a) f(x) = Vx² – x – 6. %3D log, (x – 2) |…

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Q: Find the exponential function f(x) = a* whose graph is given. f(x) y (-1,) X -2 -1 1 2. 1. 2.

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Q: Consider the function f (x) = log10 x.  Find the ratio of x1 to x2 given that f (x1 ) = 3n and f (x2…

A: Given, f(x)=log10x To find the ratio of x1 to x2 given that f (x1 ) = 3n and f (x2 ) = n.

Q: Find the domain of the function. g(x) = ln(x - 1)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: If fx) = r t 1 and g(x) = 8+x logx 1 what is the domain of (fx g)(x)?

A: To find  The domain of (f*g) (x)

Q: How large does x have to be, so that e^(-x/10)&lt;0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: what is the domain of the function Y= logy (9x t 12) - 5?

A: y=log44x+12-5

Q: Find the exponential function f(x) = ab² that satisfies the conditions f(0) = 2 and f(2) = 8. f(x) :

A: Topic:- algebra

Q: help!

A: Given function is

Q: Find the exponential function f(x) = ab® that satisfies the conditions f(0) = 2 and f(-3) 4 f(x)

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Q: Find the domain of f(x) = log 5 (16 – 6x – x²) algebraically.

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Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

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Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

Q: If f(x) = log2x then which function below has been vertically stretched, %3D shifted right 2, and…

A: Answer: C)2f(x+2)-1

Q: Find the absolute extreme values of the function on the interval. f(x)=ln(x+2)+1/x , 1 less than or…

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Q: Given f(x) = log(x - 7)- 2. select the vertical asymptote. %3D Ax=-2 By= -1 y = -2 D x = 7 E x = 2 F…

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Q: where k is a constant > 0.

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Find the domain of the function: h(x) = ln(x - 3)2.

A: Given: hx=lnx-32 By using the property of logarithmic function, the given function can be expressed…

Q: True or False The graph of f(x) = loga x, where a &gt; 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Given function is, fx=logax, where a&gt;0 and a≠1.   Use the properties of logarithmic function, The…

Q: Find the domain of this function. f(x) = ln(x - 8)

A: We have to find domain

Q: 6. Find the domain of f(x) = log, [log, [log3(18r – x² – 77)]]

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: f(x)=log9(x^2+7x−8) The asymptote(s) of the function is

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Q: 3) For f(x) = log2 x and (x)=√x-4, what is the domain of f(g(x)) and g(f(x))?

A: The function f(x)=logx is defined for x&gt;0 The function f(x)=x is defined for x≥0 Note: If logba=c…