Question

The functions f and g are defined as follows.

f(x)=2x²-3x
g(x) = -4x-1
Find f(-2) and g (7).
Simplify your answers as much as possible.
f(-2) =
믐
X
9 (7) =
Ś ?

Answer 1

• f(-2) = -14
• g(7) = -29

Explanation:

~1

Given Polynomial:

• f(x)=2x²-3x

To Find:

• f(-2)

Solution:

• f(x)=2x²-3x

Substitute x = -2 onto the given polynomial,as we need to find f(-2),so x = -2.

• f(6) = 2(-2)² -3(-2)

Simplify using PEMDAS,then.

• f(6) = -8 - 6
• f(6) = -14

Hence, f(6) = -14

`\rule{225pt}{2pt}`

~2

Given polynomial:

• g(x) = -4x-1

To Find:

• g(7)

Solution:

g(x) = -4x-1

Substitute x = 7 onto the given polynomial,as we need to find g(7),so x = 7.

• g(7)= -4(7) - 1

Simplify using PEMDAS.

• g(7) = -28 - 1
• g(7) = -29

Hence, g(7) = -29.

`\rule{225pt}{2pt}`