Exercise 45 Page 968

We are given the following two functions. f(x) = 3 x +5 g(x) = x^2+2x We want to find the product of f(-3) and g(-3). To do so, we will begin by evaluating the given functions for x= - 3. Let's start with f(x).

f(x) = 3x+5

Substitute

x= - 3

f( - 3) = 3( - 3) +5

▼

Evaluate

MultPosNeg

a(- b)=- a * b

f(- 3)= - 9+5

AddTerms

Add terms

f(- 3)= - 4

Now, we will evaluate g( -3).

g(x) = x^2+2x

Substitute

x= - 3

g( - 3) = ( - 3)^2 +2( - 3)

▼

Evaluate

CalcPow

Calculate power

g(- 3)= 9 + 2(- 3)

MultPosNeg

a(- b)=- a * b

g(- 3)= 9 + (- 6)

AddNeg

a+(- b)=a-b

g(- 3)= 9 - 6

SubTerm

Subtract term

g(- 3)= 3

Finally, we will perform the given function operation.

f(-3)* g(-3)

SubstituteII

f(-3)= - 4, g(-3)= 3

- 4* 3

Multiply

Multiply

- 12

This corresponds to option G.