Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a. Amarion wants to determine f(x)-g(x)-h(x) . His steps are shown below, but he made a mistake. In which step did he make a mistake and what was the mistake? Amarion made a mistake in Step 1:(1/3x^2-3/4x)-(1/2x+5/6)-(1/4x^2-5/8x+2/5) Step 2: (1/3x^2-5/4x-5/6)-(1/4x^2-5/8x+2/5) Step 3: 1/12x^2-15/8x-13/30 part b. because a. he did not distribute the -1 to all terms B. he did not get a common denominator for all the terms C. he did not change the exponents when combining like terms

Q: Given the following function:  f(x)=(x−1)3(x+2)f(x)=(x−1)3(x+2).  What happens at the zero of x=1x=1

A: We have given function fx=x-13x+2.

Q: Find any veritical, horizontal or oblique asymtotes of f(x)= 4-3x/2x-1

A: To find the vertical, horizontal or oblique asymptotes.

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: f(x)=-6x+3 find f(1/2)

A: Given: fx=-6x+3 To find: f12

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: f(x) = x³ (-4x + 2) g(x) = -4x+2

A: f(x)=x3(−4x+2)g(x)=−4x+2

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

A:

Q: Let f(x) = x² + 5x and g(x) = 4 – x. Find (-2). (- 2) = (Simplify your answer.) %3D

A: As the domain of both f(x) and g(x) is R. (f/g)(x) = f(x)/g(x).

Q: Given f(x)=10 + 5x Find ¹(f(5)). Step 1: Find ¹(x) = Step 2: Find f(5)= Step 3: Find ¹(f(5))=

A:

Q: Given f(x)=10 + 5x Find ¹(f(5)). Step 1: Find 1(x)= Step 2: Find f(5)= Step 3: Find 1(f(5))=

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Find f-1(x) for the following: f(x) = 3 – x

A:

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

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

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

A: Given query is to find indicated derivative.

Q: Find the domain of the function f(x) = √x + √(1 − x)

A:

Q: find f-1 (x) for the one-to-one function f(x) =4x+1 divided by 5

A: Given function is f(x)=4x+15 Also given that f(x) is one-to-one function Now we have to find f-1x