Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3. f(f(x)) = 4. g(g(x)) = = m m

Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: 5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

A:

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Find the value f(0) for the function f(x)=9

A: Given; f(x)=9.

Q: Let f(x)= √x. Find g(x), the function that is f(x) shifted up 7 units and left 3 units.

A:

Q: Find the following value for the function. f(x) =x+4, f(8) %3D f(3) = D %3D

A:

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: Consider the function f(x) = -x + b, where b is a constant, and find the following. a. f(f(0)) b.…

A:

Q: Determine the function values of the following function   F(x)= 5/x+1   F(0)=    F(2)=

A:

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

A:

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Give the domain of the following functions: 1. f(x)= 3x-5 X 2. g(x)= x-25 3. с(x)- x-2

A: Please refer the attached image for complete solution.

Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.

Q: Find and simplify the following for the function. f (x) = 2r – 14.x² + 9 f(a + h) – f(a) (h = 0) h

A:

Q: 3 %3D 2. Complete the table to describe all the end behaviours of the function f(x) = (x+2)2 As x -…

A: