A 5. What is (go f)(x) if f(x) = 3x-1 and g(x) = 4a2+ 9? 1 and g(a) = 4x² +9? %3D %3D O (go f)() = 36a2- 24x+13 %3D O (go f)() = 48a2 - 26x 1 %3D | O (go f)(x) = 24a?-25 O (go f)(x) = 12a26

Q: 2x + 3, if For f(x) %3D (3x²- 11, if 17) f(5) = 18) 3f

A:

Q: If f(x)=3x-1 and g(x)=x³, which of the following is FALSE? (fog)(x)=3x³-1 O (fog)(x)=x³/3 +1…

A:

Q: 3y3 (2y+3) (y-5)

A: The given expression is

Q: fx)--x +x2 + g(x)%3D4X 16x

A: using difinite integral , area of the shadid region is given by ,A= ∫04f(x)-g(x) dx

Q: (2x3-1, f(x) =3, x-21, x<1 15x<5 %3D x25 Evaluate: 4f (3)-2f(-2)

A: The given function is fx=2x3-1,     x&lt;13,               1≤x&lt;5x-2        x≥5.

Q: (5 + y)(4 + y) = (6x + 2y – 4) + (2x + 2y + 10) = (x – 3)(x + 3) =

A:

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: if h(x)= x2 -1 and k(x)=5x-3 what is h(x)*k(x) I keep getting 5x3 -3x2 -5x+3 what am I doing…

A: Given h(x) = x2-1   and k(x) = 5x-3To determine h(x) x k(x)

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x&lt;-2  -(x+1)2 +1            if -2≤x&lt;2  -14x…

Q: 31. Evaluate

A:

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: Find (f g)(x). f(x) = 7x + 9, g(x) = 4x - 1; A) 28x + 8 B) 28x + 16 C) 28x + 2 DJ 28x + 35 op

A: The given functions are  f(x) = 7x +9 g(x) = 4x - 1 To find (fog)(x)

Q: 2. h(a) = 3a +3 g(a) = a +3 a. (h. g)(5) b. (goh) (²) C c. (goh)(x)

A:

Q: Use inverse operations to write the inverse of f (c) = - 5. o f (z) = 4 (z+ 5) O f (x) = 4x + 5 o f…

A:

Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

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

Q: 4 2 What is the equation of the given graph ? -2 -1

A:

Q: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: If Var(X) = 5 and Var(Y)=10, then Var(3X-2Y) is

A: Given that Var(X)=5 Var(Y)=10 we have to find Var(3X-2Y) ?

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

A:

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: If f(x) = - 9x - 6 and g(x) = 4x + 8x + 7, find g(f(3)). %D

A:

Q: Vx (x+2) dx = (A) 국2+4 (B) r2+2 + C (0) 등(금2+ 2x)+C (D) ++C 3/2 +x3/2. 3 x (2 5 1 -+ C

A: Given, ∫xx+2dx  We have to integrate it .

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

A:

Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: Evaluate the given expression. Take -[₁ A = 0-1 -2 0 1 -1 A+B-C 17 B = -0.5 2 0 0.5 -3 1 7 and C= 1…

A:

Q: 3(x+2)(x-2)=0

A:

Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

A:

Q: Let f(x) = 2x - 5 g(x) = 4x – 1 h(x) = x² + x + 2 Evaluate. (g of)(0) O-21 O -7

A:

Q: Given f(x) = 4x - 6 and g(x) = 2x- 3x %3D %3D find (f-g) f+g)x) , f.g), 1 (x)

A: Algebraic properties on two functions are :…

Q: 22 f(x) (10 )(19 x)(13+2x)(7 2x)

A: Expand the given function as follows.

Q: Which is the quotient of f(x) if f(x)= 2x? + 3x -5 and g(x)= 3x² -x -2? g(x)'

A: