Given the function: P(x) (2x − 1, x < 2 = x² -1, x ≥ 2 Find the value of P(4)

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f o g)(x)?

A: We have to solve

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: What is the domain and range of h(x) = x² + A ?

A: Given: h(x)=x2+A

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

A:

Q: Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

A: given: fx=2x-9g(x)=5x+4 we have to find all values of x for which f(x)&gt;g(x)

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

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Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

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Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

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Q: Given f (x) = 1- 1 / (x + 2)² Find : f(-x)

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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: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

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Q: Find g × f when f(x)=1/3x-3 and g(x)=3x+1

A: Given: The functions  and ,  defined as, Aim: To determine the product of two functions, i.e.,…

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

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Q: If f(x) = f"(4) = x² 4 + X find f"(4). x

A: Given query is to find indicated derivative.

Q: Given the function: 6x +1 z 0 Calculate the following values: f(– 1) = f(0) f(2) -

A:

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

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