Consider the function f(x) = 8+ (In(z² – 4))* What is its domain and range? (Use interval notation: U for union and INF for oo).

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is  y = a(b)x

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: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

A:

Q: Differentiate the following functions: a) y = (-5x-7)³ b) y = 7-2x² 2x+1

A:

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

A:

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

A:

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: しxs Simt if x#0 fox)=D E メ=O

A: f(x) is 0 for x=0

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: D = {[x, f(x)]: (-1, 2), (0, 1), (1, 2), (2, 5), (3, 10)} Write the rule for f(x). x + 1 2x x² + 1

A:

Q: Check the differentiability of the function flz)= (スー1)

A: fz=z-1¯2z+1⇒fz=z¯2+1-2z¯z+1 Differentiating wrt z¯, we get  ∂f∂z¯=2z¯-2z+1