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Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem 7-117

7-117.

Use the functions f(x) = 3x2 – 5 and g(x) = x – 3 to complete the parts below. Homework Help ✎

  1. What is f(–5)?

  2. Write an expression for 7g(x).

  3. What is f(4)?

  4. Write an expression for g(3x).

  5. Write an expression for f(x + 4).

  6. Write an expression for g(x) – f(x).

  7. Describe the domain of f(x).

  8. Describe the domain of g(x).

Substitute −5 for x.

43

Substitute x + 4 for x in the expression.

all real numbers

Multiply and distribute 7 by the g(x) expression.

3x − 3

Remember to distribute the negative sign to all terms in f(x).

−3x2 + x + 2

See part (g).