Given r(t) g(t) find: r (0) h(t) find:r (1) find:r (2) find: r (3)

Q: Given f(t) = 3t – 4 and g(t) =7 – t², find the following: - %3D a. (f – 9) (t) b. (f o g) (t) (go f)…

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Q: Find: a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2), given f(x) = √x, g(x) = x + 2

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

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Q: A green grocer’s daily profit from the sale of two brands of orange juice is given by P(x , y) = (x…

A: Consider the equation

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

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Q: Given s(x)=(x-2)2, find s(4), s(-3), s(2), s(1) and s(0) and find the domain of s.

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Q: Given T(x) = 3x2 Find the following: T(3)= T(-1)= T(-2)

A: If f(x) is a function and we can find the value of f(x) at some point say 'a'. Then substitute a in…

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A: Given,          fx=2x3-3x2+4x-1  and  gx=2

Q: Given g(x) = mx + b, find m and b if g(2) = 1 and g(-4) = 10

A: Given, equation is

Q: Given, f (x) = v15 + x² find f(-1) 16 -4 O 14 O 4

A: if we put x=-1 than function will be f(-1)=√(15+(-1)^2 f(-1)=√16=4 so

Q: For Given R(x), find R(5). R(x) = 4x2+3x-31 R(5) = ?

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Q: Find the function value, if possible:q(t) = (2t2 + 3)/t2 (a) q(2) (b) q(0) (c) q(−x)

A: We have to find the function value: a  q2b  q0c  q-x For the given function: qt=2t2+3t2 In this case…

Q: Given T(x) = 3x2 Find the following: T(8) T(0) T(-4)

A: Since T(x) is given, so we need to put different values of x at which T is asked.

Q: Given g(t) = 3t – 4, find g(t - 3) – g(3)

A: Given g(t) =3t-4We find g(t-3) - g (3)

Q: f(x + h) – f(x) For f(x) = x² – 4x + 7, find h

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Q: v(t+h)-v(t) Find for v(t) = 2t² – 5t. h

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Q: find f (-2) f(t)=-4t +1

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Q: Find f(a), f(a + h), and the difference quotient la + h) na) where h * 0. f(x) = 5 - 6x + 2x2 f(a) =…

A: Given,            f(x) =5 - 6x + 2x2

Q: Let T (x, y) be the temperature at location (x, y) on a thin sheet ofmetal. Assume that VT= (y - 4,x…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: For the functions f(x)=4x+5 and g(x)=6x+4, find (f∘g)(0) and (g∘f)(0)

A: f(x) = 4x+5 i.e. when x is input then f(x) 4 times x plus 5. g(x) = 6x+4 i.e. when x is input then…

Q: What is R(x) for this value of x? find C(x) for this value of x.

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Q: Given f (z, y) - 3z +2y +1, find the value. %3D 5 (§. ±) - The value of f

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Q: Given the functions f (x) = 3x – 2,g (x) = ,h (x) = 9x, find hog(16) e, 9 %3D %3D 9. 1 O 9 16

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Q: Given g(t) = (√2 − t) + 4t, evaluate b. g(t+h)-g(t)

A: Here, it is given that g(t)=(2-t)+4t We need to evaluate  g(t+h)-g(t)

Q: t) Given that f(x) = 3x – 6 and g(x) = 9x + 4, calculate (a) f • g(x)= (b) g • f(x)= (c)f • f(x)=…

A: As per guideline we can solve the first three subparts only.  If you need more answers  please…

Q: Given r(x) = 6x – 2 and t(x) = 4x< + 23, express the difference (r – t)(x).

A: r(x)=6x-2 , t(x)=4x2+23