x-4 Let f(x) = -x-1, h(x) = - 3 Find (f o h)(4). (foh)(4)= (Type an integer or a fraction.)

Q: x+4 x²-2x (a) Find the domain of F. 10. Let F(x) = = (b) F(-2) =

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Q: Find the solution to the differential equation: (2y - 2x²y + x² - 1)dy + 2 dx = 0 Please Answer…

A: see below the calculation

Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: 4 -2 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) 1 -6 Let B =

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Q: X + Y IF F 2+F(X)+F(Y) FOR ALL X, YeR 3 AND F(2).THEN DETERMINE F(X).

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Q: Let f(x) = x + 9x and g(x) = 5-x. () Find (x) and (2).

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Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

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Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

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Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: +5x-3 f(x) %3D when x = 1.5 x+2

A: fx=x3+5x-3x+2

Q: Let f(x) = x² + 5x and g(x) = 4 – x. Find (-2). (- 2) = (Simplify your answer.) %3D

A: As the domain of both f(x) and g(x) is R. (f/g)(x) = f(x)/g(x).

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Let f(x) = x2 –4x and g(x) = 2+x. Find (-3). %3D (- 3) =| (Simplify your answer.)

A: Given, f(x)=x2-4xg(x)=2+x To find: fg(-3) Note that fg(x)=f(x)g(x)

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: What is the value if a so that f(x) has a slant asymptote of y = x + 3. x²+ax+5 What is the limit of…

A: Given: fx=x2+ax+5x+1 We know that slant asymptote is possible when the degree of the polynomial in…

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: Let f(x) = 9x + 7x2. Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

A: The objective of this question is to compute the difference quotient of the function f(x) = 9x +…

Q: Jx²+2 Lim X-7 3x -6

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Q: f(x) =-2x - 4 if xs2 |4x -9 if x> 2 3.

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Q: Let f(x) = - 10x + 5. Find 1(2) f ¹(3). 2 (Simplify your answer.)

A: This question can be solved using the concept of functions.

Q: Let f(x) = x² - 3 and g(x) = 5x + 1. Find the value. (g. f)(-4) (gof)(-4)=

A: given,  f(x)=x2-3  and  g(x)=5x+1we know  (g∘f)(x)=g(f(x))