44. Given ƒ (x) =- 1+ (a) Simplify f (x) and evaluate f (b) The domain of f(x) is a set of real number except three numbers. Determine the numbers.

Q: Given that calculate f'(-1). f(x) h(-1) h'(-1) = || || x¹¹h(x) 3 6,

A: Given, f(x)=x11h(x)h(-1)=3h'(-1)=6

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: (14.) Let f(x)=2x + 8x. If g(x)= f(x) and g(10)= 1, what is the value of g'(10)?

A:

Q: 5 If f(x) = x + 2, evaluate f (3k +3). k=1

A: given :f(x)=x+2∑k=15 f(k+3)

Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

A:

Q: 4) If f(x) = 3*, then f(-2) equals

A: (4) Given ,  f(x) = 3x  We have to find f(-2)  Put , x = -2 in f(x) Then ,

Q: f(x) = In(x4 + 1)

A:

Q: The square root function r(x) can be defined as:        r(x) = ±√x where ± means "plus or minus",…

A: Given  r(x) = ±√x

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

A:

Q: Find the derivitive of f(x) = (x-3)/(x^2+2)   f(x) = ?

A:

Q: Does the function f(x)=2^x approach a certain real number as the value of x increasing positively?…

A: f(x) = 2x clearly, 2x+1 = 27.2 &gt; 2x  f(x+1) &gt; f(x) or if a E R (i.e. a&gt;0) then f(x+a) = 2x.…

Q: Describe the end behavior of f(x) - 2(2 – 2)*(z + 1)°(z – 5)°: As x → – ∞, f(x) → [? ♥ As x → 0,…

A:

Q: Suppose that f: R20 R20 is defined by f(x) = x². What can we say about f? →

A: Sol:- Given :- f:R≥0→R≥0It is clear that doamin of Function fx ≥0 and Range of function fx is also…

Q: If f(x) = -5 x + 12/x then f(3) is equal to:

A:

Q: snip

A: Consider the statement. The domain of the function fx=x2-4x is x|x≠±2.   A polynomial function is…

Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

A:

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

A:

Q: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: Given: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3) .

Q: If f (x) = v2x + 3 and g(x) = x – 1, what is the domain of g(x)f(x)?

A:

Q: What is the domain of (fog)(x) if f(x)3D 1 and g(x) = 4 x+2

A: Given that, fx=1x+2gx=4x We have to find the domain of the function f∘gx.

Q: snip

A: Concept - If there is function f(x), then for f(x) to be defined the numerator should never be…

Q: 5. If f(x) = x – 4, find f(-2)

A: Given :                 f(x) = x2 - 4 To find :               f(-2)

Q: 9. What is the domain and range of the function f(x) = x² + 4

A:

Q: what is the end behaviour of function f(x)= 2x^2 -3x^5 -8

A: The following table gives the end behavior of any function by knowing its degree and Leading…

Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

A:

Q: 4. Given that f'(x) = −6x² + x + 12 and f(1) = 7, find f(x).

A: Given : f'(x)=-6x2+x+12f(1)=7   To Find : f(x)

Q: Let f(x) = 56 – r and g(x) = ² – 2. Then the domain of fogis equal to

A:

Q: 48. If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: Given f'(x)=x2f(x)We know that (uv)'=uv'+vu'f''(x)=2x*f(x)+x2f(x)

Q: Suppose that f(x) is O(g(x)). Does it follow that 2f(x) is O(2g(x))?

A:

Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77   f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77…

Q: 4) If f(x) = [√9+ x²] then f(R) =_

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A:

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

A:

Q: If we restrict the domain of f(x)=x²+5 to (-2, 1), then the range of f(x) is?

A:

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

A:

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

A:

Q: want to check my answers on a and b.  as for c and di, how would i find the solution? Letf(x)=3–x…

A:

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: f(x) = sgn([x]) +1

A: The Signum function is denoted by sgnx and defined by,                                sgn(x) =-1if…

Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

A:

Q: 14) The domain of f(x) = is 6. /x-1

A: Consider the function

Q: if f(x) = x^2-7x/x-7 and g(x) = x is it true that f=g?

A: Here we have given two functions f(x) and g(x). f(x) = x2 - 7xx-7andg(x) = x  And we have to check…

Q: 20. Is the function f (x) = 2x3 - 4x even, odd or neither?,

A:

Q: Suppose f(2) = 4, f'(2) = –3, g(x) = væ, and h(x) = 9(f(x)). Then h' (2)=

A: We will find the h'(2) using the given values.Below find the solution in the image.