Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the following compositions: a) (fog)(x)- (x-2)² +5(x-2) (fog)(x)- (x-2)(x+3) unsimplified x simplified b) (fof)(x)= (x² + 5x)² +5(x² + 5x) (fof)(x)= x(x+5)(x² + 5x+5) x simplified unsimplified

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: Given f(x)= x^3 − 6x^2+9x, find the multiplicity of the zero at x = 3

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Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: f  f(x) = (1 − x)2 and g(x) = 9 − x,  find f(g(x)) and g(f(x)).

A: Composition means that you can plug g(x) into f (x). This is written as "( fog)(x)", which is…

Q: If  f(x) = (1 − x)2 and g(x) = 6 − x,  find f(g(x)) and g(f(x)). f(g(x))  =        g(f(x))  =

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Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

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Q: Let f(x) = 4x + 5 and g(x) = 5x² + 2x. After simplifying, (fog)(x) = =

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Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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Q: Convert this equation to standard form: f(x) = (x+3)² +1 Of(x) = x² + 6x +10 Of(x)=x² - 6x +10 ○ f…

A: To convert equation in standard form

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

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Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

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