a. Since 0 is less than 2, to evaluate f(0) we substitute x = 0 using the first equation, Hence, f(0) = (0)² – (0) + 4 : f(0) = 4 %3D %3D b. To evaluate f(2), substitute x = 2 using the second equation, f(x) = x – 2. Hence, f(2) = (2) – 2 * f(2) = 0 %3D c. To evaluate f(5), substitute x = 5 using the second equation. Hence,

Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

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Q: To find f(2) of f(x) = 3xy – 10ab, for which variable do we plug in 2? O b Oy O a O x

A: This question is based on functions operation.

Q: Compute f(g(x)), here, f(x) = 2x – 7, g(x) = 4x, %3D 2x +7 2x 4x +7 4x 8x+7 G 8x 8x-7 H.

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Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

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Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

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Q: If F(x) = f(g(x)), where f(−3) = 7,f ′(−3) = 9, f ′(2) = 4, g(2) = −3, and g ′(2) = 4, find F…

A: given  F(x)=fg(x)  from chain rule of derivatives        F'(x)=f'g(x)×g'(x)

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A: Given function is : hx=fgxg-2=3g'-2=-1f3=-5f'3=-6   To find the value of h'-2

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Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

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Q: 4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function?…

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Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

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Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

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Q: Please answer a,b,c

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