Question:
Solution:
Consider the following functions:
[tex]f(x)=\text{ 5x-3}[/tex]and
[tex]g(x)=x^2-2[/tex]a) f(-3):
if we evaluate the function f at x = -3, we get:
[tex]f(-3)=\text{ 5(-3)-3}=\text{ -15-3= -18}[/tex]so that, the correct answer is:
[tex]f(-3)=\text{ -18}[/tex]b) g(4):
if we evaluate the function g at x = 4, we get:
[tex]g(4)=4^2-2=\text{ 16-2= 14}[/tex]so that, the correct answer is:
[tex]g(4)=\text{ 14}[/tex]
c) f(3)*g(3):
Step 1: evaluate f at x = 3:
[tex]f(3)=\text{ 5(3)-3}=\text{ 15-3 = 12}[/tex]Step 2: evaluate g at x = 3:
[tex]g(3)=3^2-2=\text{ 9-2= 7}[/tex]Step 3: multiply f(3) and g(3):
[tex]f(3)g(3)=\text{ (12)(7)=84}[/tex]so that, we can conclude that the correct answer is:
[tex]f(3)g(3)=\text{84}[/tex]
