Find the following for the function f(x) = 4x² + 4x - 4. (a) f(0) (b) f(1) (c) f(-1) (e) - f(x) (f) f(x + 1) (g) f(3x) (a) f(0) = -4 (Simplify your answer.) (b) f(1) = 4 (Simplify your answer.) (c) f(-1)=-4 (Simplify your answer.) (d) f(-x) = 4x² - 4x4 (Simplify your answer.) (e) - f(x) = (Simplify your answer.) (f) f(x + 1) = (Simplify your answer.) (g) f(3x) = (Simplify your answer.) (h) f(x + h) = (Simplify your answer.) (d) f(-x) (h) f(x + h)

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Find the domain of the following: f(x)=3/x-7

A: Function=3/(x-7)The function is defined at all points other than x=7.

Q: Evaluate the function for fx) = x + 3 and g(x) = x2 – 2. (fg)(8) (fg)(8) =

A: The functions f(x)=x+3 and g(x)=x2-2. We have to find fg8=?

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

A: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

Q: Given the function f(x) - 1+ 8x², calculate the following values: f(a) f(a + h) f(a + h) – f(a) h

A:

Q: Find (fo g)(-2) when f(x) = - 4x -4 and g(x) = 9x +3x- 2.

A: Here, the given functions are: f(x)=-4x-4,g(x)=9x2+3x-2

Q: 5x 1 f(x) 2х + 8

A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

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: Evaluate f(x+2)when f(x)=−3x2−x−5

A: We can evaluate the function as below

Q: When f(x) : 8x2 + 2x + 3, evaluate f( – 3) f( – 3) =

A: Solution-      Given function f(x) = 8x2+2x+3 Put x= -3 f(-3)= 8× (-3)2+2×(-3)+3 We know (-3)2=9