Choose the correct answer for the following. The inverse of the function f(x) = x + 1 is 1 a) f (x) = x + 2 b) f¹ (x) = 2x-2_c)f-1 (x) = 2x + 2 d) none of them 2 If f (x)=e4ln(x3) ' then f'(x) = a) e4ln(x3) b) 12(lnx)e 41 (x3) c) e4n(x³) d) 12x11 D COSX = a)2cos22x-1 If y= In (x²+1) then the value of dy/dx at the point (1,0) is b) 2cos² + 1 c) 2cos² 2x + 1 d) 2cos²-1 0 b) 1/2 c) 1 d) none of them d sec¹√√x= dx b) 2√√x-1 c) 2x√1-x d) 2x√x-1

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Question 9 > Given that f() 9x – 8 and g(x) = 3 – x², calculate (a) f(9(0))= | (b) g(f(0))=

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Q: I + 9 If f(x) = 7x – 9 and g(x) 7 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Given: f(x)=7x-9 and gx=x+97. a fgx=fx+97                 =7x+97-9          ( Put the value x+97  in…

Q: Find the inverse function

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Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

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Q: 13. (a) Find the inverse of the functio x) = 2x – 5 (b) Find f- (3)

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Q: For problem 1-2, use f (x) = x² + 1 and g(x) = Vx – 1 to determine the indicated function. State the…

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Q: The function f-1 is an inverse function of ƒ if f(ƒ −¹(x)) = f−¹(f(x)). To verify, consider f(x) =…

A: given f(x)=5x-8 and

Q: x+7 22. (x)= 2x-7, gx) =; 2.

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Q: Find inverses if it exists how?

A: We need to find inverse function.

Q: f(x)=64² +3 g(x) = 45+2 h(z) = 16 (1024)

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Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

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Q: In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has…

A: We have to find the inverse of the function g(x).

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: A function f is defined by f(x) = 5x + 2. Find the following. (a) f(0) (b) f(4) (c) f(-2)

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Q: 32) f(x)=3– 2 34) g(x)=(x – 1)³ +2 - 1 36) f(x) = I+1 38) f(x)=- 4 - 2x +1 40) g(x)=- %3D 3

A: Given ,f(x)=3-2x5That is ,y==3-2x5A function g is the inverse of function f if for y=fx,  x=gy…

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Which equation is the inverse of f (x) = 3x + 4? Af(x) = 4x – 3 1 4 f (x) = 3 B 3 Of (x) = 3x – 4 1…

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Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: Given: fx=x3 For any polynomial function fx=anxn+an-1xn-1+........+a1x+a0; an≠0 Parent functiongx is…

Q: Consider the function f(x) = 2x - 1/ x+3…

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Q: erse of f (x) = }x +1. w

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Q: 4. Which of the following is f(x) = x² the parent function for? a) f(x) = x³ + 2x²-x+ 13. b)…

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Q: Which pair of functions are inverses of each other? Of (x) = 3x + 5 & g(x) = 5x + 3 Of (x) = x-4 2a…

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Q: are f(x)=x+2/x-2 and g(x)=2x+2/x-1 inverses of each-other?

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Q: The function f is defined by f(x) = -x³- 4x + 5 and the point (-1, 10) is on the graph of f. If g is…

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