6. Prove the following with the use of indirect method. (a) (x) (P(x) VQ(x)) = (x) (P(x) V (3x)Q(x)).

Q: *(x) = x3 – 2x + 4 at a = 1

A: Given query is to find the value of the function at indicated point.

Q: Differentiate f(x) = 3 (√4x² + 2x + 7x+2) x+1

A:

Q: Given that f(x) 13x + 10 and g(x) = Vx – 2, calculate. f(g(17)) = g(f(17)) =

A:

Q: 7) f(x) = x² – 3.x; Find f(-8) |

A:

Q: = f(x) = √√x, g(x) = x + 12 and h(x) = 2. Compute the follo (1)(4) Function value.

A:

Q: If f(x)= x2 – 2x-3 & g(X) = |X| thenfind: a) (fog)x) & b) (gof)x)

A: See the attachment

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of x-9 x is?

A:

Q: If f(x) =Vx- 4x + 19, then what is f(1)?

A: We first find f'(x) using the power rule and chain rule.

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: Given : f(x) = x² – 3x +1 and g(x) = Vx – 2 g(f(-2)) -

A: Given:     To determine:  g(f(-2))

Q: your ans

A:

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: (x) Job(z) (x) Bof(1) :puy's+xz = (x)6 pue x = (x)/(

A:

Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

A:

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

A:

Q: rovided f(x) = the square root of x2 +3 and g(x)= x/x+6 find (f o g)(4) and (g o f) (4)

A:

Q: f(x) = 2x2 and g(x) = √x. Find h(x) = (f ◦ g)(x) = f(g(x)). .........(2) (b) What is the domain of…

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Q: If f (x) = √(x - 1), find f (1), f (5), f (13), and f (26).

A: Given that the function f (x) = x - 1 To find f (1), f (5), f (13), and f (26).

Q: Let f(x) = V3x + 9 and g(x) = 2x+ 6 find fog(x) and gof (x).

A:

Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: -5 -4 -3 -2 -1 n y = دیار 2- 7 1 -2- -3- -4 2 3 4 10 5 Write an equation for the function graphed…

A: Given graph

Q: If f(x)=2x+3 and g(x)=x2, then what does f(g(2)) equal? (Hint: Compute g(2) and input its result…

A:

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: f(x) = x² + 2x-1

A: If you like the solution then please give it a thumbs up.... The Answer is:    Explanation:   (1)…

Q: Given the functions, f(x)= g(x) = ₁ h(x) = √x 1. Determine the following. Clearly show your work and…

A: As per our guidelines, we are supposed to answer only one question with a maximum of three sub parts…

Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: If If h (z) = (x+ 4) – 6, find h(-5) h(-5)=

A: The polynomial is given by h(x) = x+42 - 6 To evaluate : h(-5) = ?

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

A: