Question

A function is defined by the equation f(x) = 2x - 5.

a. What is f(0)?
b. What is ƒ(1/2)?
c. What is f(100)?
d. What is x when f(x) = 9?

Answer 1

a. f(0)= -5

b. f(1/2) = -4

c. f(100) = 195

d. x = 7

Explanation:

Given that,

f(x) = 2x - 5 .........(1)

a)

Putting x = 0 in equation (1), we have

f(0) = 2(0) -5 = 0 - 5 = -5

b)

Putting x = 1/2 in equation (1), We have

f(1/2) = 2(1/2) -5 = 1 - 5 = -4

c)

Putting x = 100 in equation (1), We have

f(100) = 2(100) -5 = 200 - 5 = 195

d)

Putting f(x) = 9 in equation (1), We have

9 = 2x - 5

⇒ 2x = 9 + 5

⇒ 2x = 14

⇒ x = 14/2

⇒ x = 7