Given that f(x) = 3 – 2x and g(æ) = x² + 5x, calculate (a) Evaluate f(– 3). (b) Find and simplify f(x + h). x2 – 2x + 8 (c) Solve f(x) = 0.

Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: Given f(x)=2x+5, find f(1).

A:

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) =x+9, g(x)= x- 9

A: Given the functions f(x)=x+9g(x)=x-9 To find (f∘g)(x) and (g∘f)(x) and find their domains

Q: Convert this equation to standard form: f(x) = (2x + 1)(x - 5) Of(x) = 2x² - 11x-5 Of(x) = 2x² + 1x…

A:

Q: Given that f(x) = 7x – 5 and g(æ) = 9 – a², calculate %3D (a) f(9(0))= (b) g(f(0))= Check Answer

A: Consider the given functions, fx=7x-5  and  gx=9-x2 (a) Find the composition function. fgx=fg(0)…

Q: Given the function f(x) = 8x² + 4x – 2. Calculate the following values: f(x + 1) = f(-x) =

A: Given,         f(x) = 8x2+4x-2  We need to find f(x+1) and f(-x).

Q: If f (x) = 3x + 2 and g (x) = x² – x, find the value. f(-2) =

A:

Q: he planted 28 flowers in another garden he planted 32 flowers how many flowers did Saul plant…

A: Given: Saul planted 28 flowers in one garden and 32 flowers in another garden. To Find: how many…

Q: Let f(x) = –2x + 4 and g(æ) = –6æ – 7. Find f(x) – g(x).

A:

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: Find (fo g)1; if f(x)= x+4 and g(x)= 2x -5.

A:

Q: Given f (x) = 3x² – 1 and g(x) = 4 – 2x, find a simplified expression for 2f(a – 1) +3g(-a).

A: The value is:-

Q: Write the f(x) = |3x − 1| in its piecewise-defined form.

A:

Q: Write the following functions as a sum of squares: (i) g(x) = x² – 2:r and (ii) p(x) = 4x²+12x – 7.…

A:

Q: The function T(x)=65x is the number of words, T(x) that a secretary can type in x minutes. How many…

A: Consider the given function as Tx=65x Where Tx that a secretary can type in x minutes.

Q: Let f(x) = 2 - 4x + 11x. Calculate the following values: f(a) = %3D f(a + h) =-4 f(a + h) – f(a) for…

A: To find the value of the function at a particular point, the arguements of the function are replaced…

Q: Given the function f(x) = 6x² + 2x − 1. Calculate the following values: f(0) = f(2) = = f(-2) = f(x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the following values:

A:

Q: If f(x) = x? – 3x + 4, find f(-3) and f(2a).

A: Given,f(x)=x2-3x+4,to find: f(-3) and f(2a). Solution: f(x)=x2-3x+4Substituting,x=-3 we get f(-3)…

Q: f(x) = 4x² – 2, g(x) = 4 – 3x, and h(x) = f(g(x)). Find h(3) a. -170 b. -102 C. -5 d. 98

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Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: Given the function f(x) = 6x² + 2x - 6, calculate the following: %3D f(2) : 22 %3D f(- x) = %3D

A: Given  f(x) = 6x2 + 2x - 6 For f(2) , put x= 2 in the above function And f(-x) , replace x with -x…