Algebraic-Graphical-Numerical In Exercises 25-34, show that fand g are inverse functions (a) algebraically, (b) graphically, 26. f(x) = X g(x) = 4x + 9 28. f(x) = g(x)=√/2x ³ + 10 30. f(x)= 3x - 10, g(x) 3 32. f(x)=x-5, g(x) = x + 5 34. f(x) = x+3, 8(x) = 2x+3 x-2' x-1

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: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx +1 %3D %3D 5. (g o f)(1) = gCF(I) =g(1) (go F)CI) = 2C1)-3…

A: As per guideline we have to solve one question

Q: inverse function of f(x) = x/3 + 2x/7

A: We have the given function as fx=x3+2x7 On taking LCM and solving further, we get the result as…

Q: 1 + x In Exercises 47-48, let f(x) =- 1 - x 1 47. Find and simplify. x + 3 1 48. Find and simplify.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: III. DIRECTION: Determine the composite of two functions. (2points each) f(x) = x + 3, g(x)= 2x² - 9…

A: Given fx=x+3, gx=2x2-9 and hx=x2.  1) fx+gx=x+3+2x2-9fx+gx=2x2+x-6    2) fx·h(x)=x+3x2fx·h(x)=x3+3x2…

Q: 3ex - 2 Let f (x) = %3D ex + 6 Find a formula for the inverse of f.

A:

Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,00⁰) f-1(x) =

A:

Q: This is a new function after transformations from the parent function f(x)=x^2 What would the new…

A:

Q: 6x +7 The function f(x) = is one-to-one. 5x - 6 (a) Find its inverse and check your answer. (b) Find…

A: We have to find the Inverse.

Q: 2x + 4 Let f be the one-to-one function given below. f(x) %3D 5z + 6 (a) Find the inverse function…

A:

Q: 6) Find the inverse of each of the following functions: a) h(x) ={(-6, 5), (8, 7), (0, 1), (16, 9)}…

A:

Q: describe the values of x that must be excluded from the domain of (f g)(x) based on the example…

A: Domain of a function: The domain of a function is the set of all possible input values of the…

Q: Find the inverse of the one-to-one function. 5 7) f(x) = 3x +7 5 A) f-1(x) = Зх B) F(x) = C) F4«) =…

A:

Q: What is the inverse of f (x) = 2x3 +1 where function g is the inverse of function f? O g(x) -1 O…

A:

Q: #38

A: