Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c) Does f(x + h) = f(x) + f(h)? Yes O No (d) Does f(x + h) = f(x) + h? Yes No (e) Find f(x +h)-f(x) and simplify.

Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: Let f(x) = 3x2. Find f(3 + h). f(3 + h) = Find (3 + h) – f(3) h f(3 + h) – f(3) Compute f'(3) by…

A: Given; f(x)=3x2

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: Given f (x) = 7-5x a] f-¹ (4) b] f¯¹ (-4) + f¯¹ (-3) + f¯¹ (-2) c] g (x) = f-¹ (2x) 1 determine

A: The given function .The objective is to find the following values,(a) (b) (c) .

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

A:

Q: Given f(x) = -5 - 2x What is f(6)

A: We have given f(x) =-5-2x. We have to find the value of f(6).  For this we can replace x by 6 in…

Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

A:

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: Let f(x) = 5 + x + x² and h = 0. (a) Does f(5 + 1) = f(5) + f(1)? O Yes Ο NO (b) Find f(x + h). (c)…

A:

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: Evaluate  (f ∘ g)(5). f(x) = 2x + 1 g(x) = x + 9 (f ∘ g)(5) =

A: f(x) = 2x+1 &, g(x) = x+9 So, g(5) = 5+9 = 14

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

A:

Q: Let f(x) = - 2x +7 and g(x) = x - 2. Find g(2) - f(2). g(2) – f(2) =

A:

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: The proper way to evaluate f (3 + h) for the function f(x) = −4x² + 3x − 1 is Of(3+h)=(−4(3)² + 3(3)…

A: We can answer the question as below.

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1

Q: Find a symbolic representation for f-1(x) f(x)=6x3+3

A:

Q: given fx= 7x+3 then f -1 (x) will be?

A: f(x)= 7x+3 Let y = 7x+3

Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :