Let f be a two-sided exponential pulse function given by +Lo et tzo fct) [+ (find F (w) (6) find Gu (w) 4 ge= f(t-1) © find G₂ (w) 9₂0) = f(at) if

Q: What is the inverse of the function f(x) -In(5x + 1) – 7? ex – 6 elx + 7). 5 O fx)= elx+7] -4

A: Topic = Functions

Q: If f(x) = log(a)x, show that f(x^α) = αf(x).

A: Given that:

Q: Evaluate (a) log(2-j3)(6(sin(√ī})² (b) 11/2

A: Given:  log2-j36sinj2 jjj2 To find: We have to evaluate the given expressions.

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: +y du show that x- + y = 3. %3D Ifu(x,y)=log x+y

A: we have to show that the following

Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: The domain of the logarithmic functiort f(x)=log_(a)x is

A: We find domain of the logarithmic function f(x)= logax.   Where, a > 0 is a constant.

Q: If f(x) = cos(2x), then f"|

A:

Q: - Tuncuon j(x) = xlog x , then f'(1) is a) 1 b) logx c) x d) None of these O d O a O c O b If f(x) =…

A:

Q: h(x) = x + 5 I-x

A: Given, h(x) = x+5x-1

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: Let q= eJZ and cloga (bx)Loga (ě) 子()= where b=3 and c=-s C= - S Caleulate 3e7'ce) oוא

A:

Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x2 –…

A:

Q: What is f’(2) for the function attached below?

A: We have to calculate the derivative of the given function at x=2 f'(2)…

Q: Let b be a real number. By considering properties of exponential functions, show that the points…

A: We know, for any real number b > 1,         b0 = 1      => logb(b0) = logb(1)       =>…

Q: the inverse function of f(x) = ax is x+c hat is the value of a + b + c? +C= f-¹(x)= 8x - 7 .-x+3'

A: Topic:- algebra and calculus

Q: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)…

A: Inverse of the function

Q: Suppose the functions f, g, h, r and I are defined as follows: f (x) = log+log x 3 g(x) √(x+3)² h(x)…

A:

Q: If f(x)= cos(4x) Plot the function from (x=0) to (x=180)

A:

Q: Prove that log(x + y) = log(x) + log(y) if, and only if, y = 1, where x > 1.

A:

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: By using False Position for f(x) = x3 - 4x +4 (XL=-3; xU=2) xr will replace

A: This is interesting question but before the solution we must know about the  false position method…

Q: When do we use the Chain rule in derivates of exponential function

A: