If f(x) = (x-1) (2+5) and g(x) - -3) then the function (2) (x) is (2x+5) a) ) «) = (x-3) (2x+5) b) () (x) = (x-1) (x-1) (x- 1) (x- 3) (x - 3) d) (2x + 5) Select one: (C) (d) (b) (a)

Q: what are the blanks

A: To find the expressions (formulae) for the composites of f(x) and g(x)

Q: For g (x) 2x^2+ 7x and h(x) = 4x - 1, g(h(x)) = x^2+= x+=

A:

Q: Which function pair was used to create f( g (x) ) = (2x)^2−4 ? a) f(x)= −4 ; g(x)= 2x^2 b) f(x)=…

A: In option d), it is given that, fx=x2-4 and gx=2x Thus, the composite function fgx is given by,…

Q: The range of f(x)= 2x2+5x-8 is [- 65/8, 0) O [-73/8,00) e [-10,00) [-17/2,0) [- 89/8,00) O…

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: If f(x) = 3x - 5 and g(x) = x³ + 1 then g(f(1)) is a) 2 b) -2 O c) -7 Od) -124

A: f(x)=3x-5g(x)=x3+1

Q: Determine the value of if q(x) if x = 6 3x4-6x3+11x2-x+4 = (3x2+2)q(x)+r(x)

A: Given:- 3x4-6x3+11x2-x+4 = (3x2+2)q(x)+r(x)  To find:- q(x) at x= 6 Method:- Here we know 3x2+2 is…

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

A:

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: F( x)=x^3-6x^2-24x+64 is x-2 What are the zeros of f(x)

A:

Q: Be f(x) = 3x^2+7x-2, g(x) = 4x^2-x+1 and h(x) = x^3+x^2-2 determines:

A:

Q: intergral ((x2 -3)/(x4 +7))

A: Solution Given ((x2 -3)/(x4 +7)) we need to  find the integral

Q: f(x)=(x^2-1)/(x+4) Find the following :  5) f(2x) 6) f(a+k)

A: For 5th put 2x in place of x And for 6th put a+k in place of x in f(x)

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: Given f(x)=x + 2 and g (x)= 4-x^2 , find the following 1) (f*g)(x) 2) (g*f)(x) 3) (g*f)(-2)…

A:

Q: Prove that ax² bx C (x-a) (x −b) (x −c) * (x − b) (x − c ) + x = c + - x³ (x-a)(x-b)(x-c) =

A:

Q: you

A: Topic:- function

Q: The proper way to evaluate f(x + h) for the function f(x) = 3x²-x+4 is f(x + h) = 3(x+h)² - x +h+4…

A: Topic:- function

Q: ((-14)/((x^2)-x-12))-((1)/(x-4))=((2)/(x+3))

A: Given:The equation is,

Q: Given that g(x) = (x2) +3 and f(x) = (x^2) + 5x + 7, what is f(g(x)?* O (x*4) + 15x + 21 O (x*4) +…

A:

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

A:

Q: Let f(x) =  x^3 - x^2 -10x - 8 Factor f(x) into linear factors a) (x-1)(x+4)(x-2) b)…

A: Option (c) is correct See the calculation below

Q: E. y = f (x) = (x² + 2x + 1) (2x² + 4x + 2) (Use the Product Rule) 10x² 20x+10 2x-2 (Use the…

A: E. Given that y=fx=x2+2x+12x2+4x+2using product…

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: 3(x+5, =ax-5

A:

Q: If f(x) = 3x - 4 and g(x) = 6x² + 8x +1 find 1. f-g (x) 2. g + f (3) 3. f* g (5)

A:

Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

Q: If f (x) = 1 x-7 then f-1 (x) =2x+7                   2                    2) If f (x) = {(-3,1)…

A:

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.