Use the functions f(x) = 3x2 – 5 and g(x) = x – 3 to complete the parts below. Homework Help ✎
What is f(–5)?
Write an expression for 7g(x).
What is f(4)?
Write an expression for g(3x).
Write an expression for f(x + 4).
Write an expression for g(x) – f(x).
Describe the domain of f(x).
Describe the domain of g(x).
Substitute −5 for x.
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).