Question

Given the function f(x) = 2(x + 10), find x if f(x) = 24. . .A] 68 . B] 7 .C] 17 . D] 2

Answer 1

option D is correct

The value of x is 2

Explanation:

Given the function: f(x) = 2(x+10)

if f(x) = 24 then solve for x;

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.

i,e
`a\cdot(b+c) = a\cdot b+ a\cdot c`

f(x) = 2(x+10)

Applying distributive property we have;

`f(x) = 2\cdot x + 2\cdot 10` = 2x+20

Now, substitute the value of f(x) = 24 to solve for x;

`24 = 2x+20`

Subtraction property of equality states that you subtract the same number to both sides of an equation.

Subtract 20 to both sides of an equation, we get

24-20 = 2x+20-20

Simplify:

4 = 2x

Division property of equality states that you divide the same number to both sides of an equation.

Divide both sides by 2 we get

`(4)/(2) = (2x)/(2)`

Simplify:

x =2

therefore, the value of x is 2.

Answer 2

Given the function of f(x) = 2(x+10), find x if f(x)=24 will be 2. The correct answer will be D.

The steps to get the answer are;
2(x+10)=24 2x +20=24 -20 -20 2x=4/2 x=2