Think About It In Exercises 87–92, determine (ifpossible) the zeros of the function g when the function fhas zeros at x = r1, x = r2, and x = r3.87. g(x) = −f(x)88. g(x) = 4f(x)89. g(x) = f(x − 5)90. g(x) = f(2x)91. g(x) = 3 + f(x)92. g(x) = f(−x)Project: Population To work an extended applicationanalyzing the population of the United States, visit thistext’s website at LarsonPrecalculus.com. (Source: U.S.Census Bureau)

Q: Let f(x) = r + 4x 1 and g(r) = 2r – 3. Determine 2f(x) – g(x). O 2x2 + 6x +1 2x2 + 2x – 5 -6x2 + 2x…

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Q: Exercises 73–80, find the difference quotientand simplify your answer.73. f(x) = x2 − 2x + 4, f(2 +…

A: the formula of the difference quotient is  f(x+h)-f(x)h

Q: For Exercises 93–102, write the domain of the function in interval notation. VI - P 93. f(x) = V9 -…

A: "Since you have posted a question with multiple subparts we will solve the first three subparts for…

Q: Exercises 111-114: Determine the domain and range of function f. Use interval notation. 111. f(x) =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Evaluate f(x) = 8-X at x = 2. f(2) =

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Q: For Exercises 57–62, find and simplify f(x + h). (See Example 6) 59. f(x) = 7 – 3x 62. f(x) = x – 4x…

A: Hello! thank you for question but as per our honor code, we'll able to solve only the first question…

Q: Exercises 3 and 4: Write f(x) in the general form f(x) = ax? + bx + c, and identify the leading…

A: We know that, The highest power of the variable that occurs in the polynomial is called the degree…

Q: Exercises 57-60: Decide whether the function f is constant, linear, or nonlinear. 57. f(x) = 8 – 3x…

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Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In Exercises 20–22, find the domain of each function. 20. f(x) = 7x - 3 1 21. g(x) x + 8 3x 22. f(x)…

A: The domain of a function are all values of the function variable , at which the function is defined.…

Q: Exercises 125-130: Evaluate the expression for the given function f. 125. f(a + 2) for f(x) = 3 –…

A: Note:- We’ll answer the 125th question since we answer only one question at a time. Please submit a…

Q: 1) Analyze and sketch the function f(x) = -x* - 2x + 5x2 %3D

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Q: Find real numbers a, b, and c so that the graph of the function f(x) = ax2 +bx + c contains the…

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.