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

7-117.

Use the functions *f*(*x*) = 3*x*^{2} – 5 and *g*(*x*) = *x* – 3 to complete the parts below. Homework Help ✎

What is

*f*(–5)?Write an expression for 7

*g*(*x*).What is

*f*(4)?Write an expression for

*g*(3*x*).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*.

43

Substitute *x* + 4 for *x* in the expression.

all real numbers

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

3*x* − 3

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

−3*x*^{2} + *x* + 2

See part (g).