Question

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)

Answer 1

Question:

Solution:

Consider the following functions:

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

and

`g(x)=x^2-2`

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}`