Intuitively, give the inverse function of each of the following. 4. f(x) = x 1. f(x) = x + 2 2. g(x) = 12x – 1 3. h(x) = – 5. g(x) = 3x+5 %3D 4

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

A:

Q: The equation f (x) = (2)* is Neither O Decay O Growth

A: f(x)=(2)xLet y=(2)xNow compare the equation with y=abxa=initial amount=1,       b=growth/decay…

Q: Find the exponential function f(x) = ax whose graph is given. %3D f(x) 10 8 6- (-1, 5) 4 -3 -2 -1 2…

A:

Q: Suppose that y varies inversely as the 4th power of x, and that y=8y=8 when x=4x=4. What is y when…

A:

Q: If f(x) is an exponential function where f(-1) = 15 and f(8) = 31, then find the value of f(13), to…

A:

Q: The function f(x) = e' is called the exponential function. The number e is approximately equal to

A: Answer :Given f(x) = ex∴ f(x) = ex is called as natural exponential  function with bases e& e…

Q: Find the exponential function f(x) = a whose graph is given. f(x): %3D y 10 (-2, 9) 8 4. 2 3. 1 1.…

A: Given exponential function f(x)=ax and (-2, 9)∈f(x)

Q: Write the derivatives of these four functions: a) ​7 log8(x)​​​​​​​b)​3ex c)​5(16x

A: Since you have asked multiple question, we will solve the first 3 question for you. If youwant any…

Q: The function defined by y= x3 (is/is not) an exponential function, whereas the function defined by y…

A: Definition of exponential function – A mathematical function of the form f(x) =ax, where a is the…

Q: What would be the inverse of the function, y = log 3 (x) - 5? O y= 3x+5 O y= 5x+3 O y= 5x-3 O y=…

A: Consider the function  y=log3x−5

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: Find the exponential function f(x)=a^x whose graph is given. f(x)=

A:

Q: Find the exponential function f(x) = ab" that satisfies the conditions f(0) = 5 and f( – 3) : 64…

A: We have f(x) = abx  f(0)= -5 f(-3)= -5/64

Q: How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3,…

A: To write the exponential function in the form f(t) = abt

Q: If f(x) is an exponential function where f(-2) = 8 and f(3.5) = 20, then find the value of f(4), to…

A:

Q: Find the exponential function f(x) = ax whose graph is given. f(x) = y 3 (-1. ;) -2 -1 1 2

A: We will use the given point on the curve to find the value of a.

Q: Find the exponential function f(x) = a* whose graph is given. (а) y (b) yA (2, 25) 5+ (3. 4) -3 3 x

A: An exponential function of the form ax has the x-axis as the horizontal asymptote. For a>1 it has…

Q: Determine the inverse of the exponential function, y = 2*+3. O y= logs(x)+2 Oy= logx)+5 Oy- logg-5…

A: To find the inverse function, swap x and y and solve the resulting equation for x.

Q: Find the exponential function f(x) = a whose graph is given. %3D f(x) = %3D y 3 2 (-1.) -2 1. 21

A: Solve for f(x)

Q: What is the inverse of the function y = log(2x + 3) ? %3D

A: Replace x from y  in the given equation By using the logarthmic properties, and solve for new y…

Q: 2. Let 10000 P(t) = 900e-t + 100 describe the size of a population at time t. Find the inverse…

A:

Q: Find a formula in the form of f(x)=a(b)^x for the exponential function that passes through the two…

A: Consider the exponential formula Given that f(x) passes through the (0,2) and (3,432).

Q: What is the inverse of the function f(x) = log5(-x – 3) ?

A:

Q: Find the equation of the exponential function f (x) 0 5 1 5.2 2 5 (2)? 3 5 (2)°

A: Generalise equation for exponential

Q: Find the exponential function f(x) = ax whose graph is given. f(x) = y 20 (2, 16) 15 10 -3 -2 -1 1 2…

A:

Q: Sketch the shifted exponential functions. y=6x -2 and y=6-x -2

A: Sketch the shifted exponential functions of given  1. y=6x -2 2. y=6-x -2

Q: Does the function f(x) = 2e¯X represent exponential growth, decay, or neither? A) Exponential growth…

A: Here we will apply the concept of increasing and decreasing function to come to the conclusion

Q: Find the exponential function f(x) = a* whose graph is given. f(x) y 4 3 2- 1 (2, 16 -3 -2 -1 1 -1…

A: Graph

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: 6. For the exponential function given below: f(x) = -2x-1 +4

A:

Q: If  f(x) = ln(x),  find  f(e9x).

A:

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: . Find the exponential functions of the form f(x) = ab* that pass through 1) (-2, 32) and (1, –)

A: An exponential function is in the general form f(x) = abx We know the points (-2,32) and (1,1/2) ,…

Q: Find the exponential function f(x) = a\ whose graph is given. f(x) = y 4 3 2 1) 1 2, 16 -3 -2 -1 1 2…

A: Substitute the given point in the equation and find the value of a.

Q: For the exponential function f(x) = a%, where a> 1, is the function increasing or decreasing over…

A: The give exponential function is f(x) = ax, where a > 1

Q: Consider the following functions. Which are exponential functions? 1. f(x) = 10* 2. f(x) = x² %3! 3.…

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Q: Find the inverse Function to the function: f (x) = 3 log(2x - 1) +5 %3D

A: To find the inverse function , swap x and y , and solve the resulting equation for x .

Q: How do I find a inverse if the problem is in a fraction form? f(x)=log(x/25) where y=f(x)?

A:

Q: If f(x) is an exponential function where f(−2.5)=9 and f(2.5)=45 then find the value of f(3.5), to…

A: f(-2.5)=9, f(2.5)=45

Q: By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The…

A: The figure is:

Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

Q: Find the formula for an exponential function that passes through the two points given. (x, y) = (0,…

A:

Q: This exercise involves a difference quotient for an exponential function. If f(x) = 2X, show that fx…

A: GIVEN: f(x) = 2x

Q: When you put x =Sp, you find that Exponentialcumdist(s u, p) computes out to the same value no…

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Q: Find the exponential function f(x)  =Cax  whosegraph is given.

A: Given exponential function whose graph is given. To find the exponential function fx=Cax. From the…

Q: 2) Write the derivatives of these four functions: a) 7 log8(x) b) 3ex c) 5(16x) d) 9ln(x)

A:

Q: Differentiate the function. f(x) = log2(1 – 3x) f'(x) =

A: we have to find the derivative of given f(X).

Q: The inverse of f (x) = ln x is an exponential function.

A:

Q: Find the exponential function f(x) = ax whose graph is given. f(x) y 4 2, 25 -3 -2 -1 1 2 3 -1 2.

A: