Show that f(x) = (5x-3)/(7x-4) is invertible by f(a) = f (b) and solving : f(a)= (5a-3) / (7a-4) f(b)= (5b-3) / (7b-4) i.e solve : (5a-3) / (7a-4) = (5b-3)/(7b-4) And prove that a=b , therefore stating that it is invertible

Q: Find (f/g)(x) if f(x)=x+2 and g(x)=x2+4x+4. Choose from the answers below. a) (f/g)(x)=x+2 b)…

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Q: Need only handwritten solution only (not typed one).

A: The given function is .We have to find the inverse function.

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A: Given that P(x) : x spends more than five hours every weekday in class. (a) ∃xP(x) This can be…

Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

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Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

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Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

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Q: 2x (x- 3)(x - 5) 3. 5 (x- 3) (x – 5) 3 (х — 3) ' (х- 5) (x-5) 3. 5

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Q: The product of 2x3 + 3x? + 1 and 2x2 + 4 in z3 [x]/ is: 4x+1 x^2+2 5x^2+ 5x +1 None

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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: (X+1)(X) 3D x2*-X +X-1 x2-1 2メー5 メー! メt1

A: Given:

Q: Define f(x) = x2 + 2x-15 and g(x) = (√x+4)  (Note: x+4 all under square root) Give the value of…

A: We will find the value of (fg)(5) from the given information using the composition of functions.

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

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Q: f(x) equals square root of x - 5 and G(x) equals 2x + 7 find the following: a) (f -g) * x       B)…

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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) =

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Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

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Q: x= -(b) +(b^2-4(a)(c) 2(a) x^2 + 10x - 25= 0

A: Given,         x2+10x-25=0We know that,         For the quadratic equation ax2+bx+c=0, then the…

Q: (x)/(x+4)+(7)/(x-1)= 2

A: Given query is to find the solution of the expression.

Q: Initially: a = 4b 3(a-203) = (b-26) 3 ( 4b-203) = b - 26 b = 53 then a = 4b = 212 < ====finish from…

A: To find a and b.

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

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

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Q: If f(x) = x³ + 5, g(x) = x + 4, and h(x)=√x, find the following a) f(g(h(x))) f(g(h(x))) = b)…

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Q: 1. f(g(2)) 2. f(g(x)) 3. f(f(x))

A: Kindly note, As per the company rule, we are supposed to solve the first three subparts of a…

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

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

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: 1f fC)-3x-4 -ndg)=2びナx, find slfk)

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Q: possible

A: Simplify the above question We can write 5=3+2

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

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