Let g(x) = 5x and h(x) = x2 - 2. Find (go h)(0). %3D (g o h)(0) = (Simplify your answer.) %3D

Q: Find the domain of the function.

A: Given:            fx=1-2x The function is defined for 1-2x≥0

Q: For the functions f(x) = - 4x+1 and g(x) = 2x-x+5, find g(f(- 2)). %3D %3D (f(-2)) = %3D

A: A composite function is created when one function is substituted into another function.  f∘gx =fgx

Q: Consider for what value of x are the function, f(x) == is defined? %3D 5-x

A: Let us consider the function f: X→Y defined as f(x)=y The function is defined for x means for all…

Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: x° 25°

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Q: Find each value if f(x) =-5x+2 and g(x) = -2x+3 a. f(3) = b. g(6) = c. g(1/2) = d. f(5) + g(-9) = e.…

A: Given  fx=-5x+2 & gx=-2x+3

Q: Let f(x) = 8 – 5x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) – f(a) for h…

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Q: Determine the power function that resembles the end behavior of 4 f(x) = -4x*(5 – 3x)*(2r + 7)* ( –…

A: 1. Power function P = axn a ,n= real constant, x is variable. 2. The end behavior of f(x)  means…

Q: If f(x) = x² – 3 and g (x) = -x + 3, determine where g(x) > f(x). %3D %3D

A: To determine: Where the gx≥fx. Given: The functions are fx=x2-3 and gx=-x+3. Calculation: Substitute…

Q: Find the slope of the line through the points named. If the slope is not defined, write not defined.…

A: Part 3:-          The slopes can be found by the slope formula for points.

Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: If F) = 7xx-4 and F4) = -3, then What is FG)? %3D

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

A: We use identity  (a+b)2= a2+b2+2ab

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

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Q: 14 cm 6 cm 6 cm

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Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6