f (x) + 5 f(x) – 3 g(x) (4) Let f(x) = mx+b, where m and b are constants and m 6= 0. Prove that the function is injective on its domain.« -

Q: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

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Q: What is the domain of the function? f (x) = x-2 2x²+x-10 O (-∞, -/ ) U (-2,00) o (−o, −2) U(-2, 5)…

A: We have to find the domain of the function  f(x) = x-22x2+x-10.

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

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Q: For the function, evaluate the following. f(x, у) %3D 0.7x + 0.4у — 0.04ху (а) f(0, 0) (b) f(1, 0)…

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Q: Find the domain off (g (x)) if f (x) = B D (-∞, 2) U (5, ∞] (2,27) U (27, co ) [2,27) U (27, ∞ ) [2,…

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Q: Differentiate. y =x° In x- dy II

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Q: Exercise 5: If f(x) = x5 + 2x³ + 2x, check that f is injective and find (f-1)'(-5).

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Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: 4. please help!'   Calculate the domain of the function:

A: Step 1:

Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

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Q: Let f(r) = x – 8rš. (a) Prove that f has a maximum and minimum value on [0,4]. (b) Find the maximum…

A: Here we have to find the maximum and minimum value of the given function.