2. Given that f(x)=5x-3 and g(x)= x^2 -2, find the following... a) f(-3) b) g(4) c) f(3)•g(3)

Question

asked May 27, 2023 174k views

1 Answer

Chanice · Answer 1 · 2023-06-03T04:54:52+0000

Question:

Solution:

Consider the following functions:

$f(x)=\text{ 5x-3}$

and

a) f(-3):

if we evaluate the function f at x = -3, we get:

$f(-3)=\text{ 5(-3)-3}=\text{ -15-3= -18}$

so that, the correct answer is:

$f(-3)=\text{ -18}$

b) g(4):

if we evaluate the function g at x = 4, we get:

$g(4)=4^2-2=\text{ 16-2= 14}$

so that, the correct answer is:

$g(4)=\text{ 14}$

c) f(3)*g(3):

Step 1: evaluate f at x = 3:

$f(3)=\text{ 5(3)-3}=\text{ 15-3 = 12}$

Step 2: evaluate g at x = 3:

$g(3)=3^2-2=\text{ 9-2= 7}$

Step 3: multiply f(3) and g(3):

$f(3)g(3)=\text{ (12)(7)=84}$

so that, we can conclude that the correct answer is:

$f(3)g(3)=\text{84}$