Find the domain of the function. (Enter your answers using interval notation.) (a) f(t) = In(6t - 7) (b) g(x) = log(x² - 25)

Q: The domain of the function g(x) = log, (x – 4) is (- 00, ) and ( 0).

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

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Q: Given a piecewise function f(x) = 2, 2x² + 2x X log₂ (x-1), x < -2 -2 < x < 2, x‡0 x ≥ 2. 1. Sketch…

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Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

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Q: Find the domain of the logarithmic function. 2) f(x) = log (x2 - 8x + 12)

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Q: Find the domain of the function. f(x) = ln(x^2 + 1)

A: Definition used:The domain of a function is the complete set of possible values of the independent…

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

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

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Q: Q3: Find The Domain of the Function. y = log(5-x) (x- 2)

A: Given: y=log(5-x)x-2

Q: What is the domain of the function g(z) = 3 log, (x – 1) + 4? Enter your answer in the box. All real…

A: Solution-

Q: b) f(x) = -log2(2x + 3) – 3

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Q: Compare the graphs of f(x)=2x+4 and g(x)=log2(x-4). What line are the two functions reflected over?

A: Topic- function

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: The graph of the function f(x)=log6(x) is stretched vertically by a factor of 7, reflected over the…

A: our objective is to find the function.

Q: Sketch the graph of f

A: Given: to obtain the graph of f(x)=log1a(x)

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: h(x) = log3(x − 3) + 2 what is the x-intercept

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Q: Find a so that the graph of f(x)= loga x contains the point (1/2, - 4).

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Q: Write the equation of the asymptote for this function: f(x) = log5(x - 2).

A: This is question is about behaviour of functions at infinity

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

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

A: Given, gx=log2+x-x2

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: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 3, reflected over the…

A: Given: The parent function is f(x)=log10(x). Transformations: 1) Stretched vertically by a factor of…

Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

A:

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: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

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

A:

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: What are the features of the function f (x) = log, a - 4 graphed below?

A: Given, y= log2x -4

Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

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Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: If f (x) = 1 and g (x) = log(2 – x) what is the domain of (f+g)(x)? %3D 3 - x

A: The domain of a function is the value of the argument of the function for which the function is…

Q: Find the domain of the function. g(x) = log3(x2 - 1)

A: Given function - g(x) = log3x2-1For a logarithmic function to be defined, the input to logarithm…

Q: The graph of the function f(x) = log6(x) is stretched vertically by a factor of 3, reflected over…

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Q: The logarithmic function f(x) = In(x – 1) has the asymptote x =

A: Given: fx=lnx-1 we know that lnx has the vertical asymptote x=0 similarly, given function has the…

Q: The graph of g(x) = 5 + log, x is the graph of f(x) = log, x shifted

A: Consider a function y=fx If the function y=fx is shifted upwards by 'a' units, the function becomes…

Q: Find the domain of the function. g(x) = 8 + 5 ln(2x + 3)

A: Given function is: gx=8+5 ln 2x+3 We have to find the domain of the above function.

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

A: y=log44x+12-5

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

A:

Q: Find the domain of the function. (Enter your answers using interval notation.) (a) f(t) = In(4t – 7)…

A: The domain of the function is the set of all input values for which the function is defined.

Q: The range of the function y = log7X is %3D

A: Given,          The range of the function y=log7x.

Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

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 exponential function f(x) = a whose graph is given. %3D f(x) = 2 (-1,5 -2 -1 21

A: Exponential function f(x) = a x

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…

Q: Given that f(x) = log5 x, where x = {-3,-2,-1,0,1,2,3}- a. Find the values of x. b. Sketch the…

A: a) The given expression y=log5x Since the log is always defined for positive values real values of x…