Question

If f(x) = √x+12 and g(x) =2√x, what is the value of (f-g)(144)?

Answer 1

(f-g) = √x +12- 2√x = 12 - √x
(f-g)(144) = 12 - √144 = 12 - 12 = 0

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Answer 2

(f-g)(144) = 0 .

Explanation:

Given : If f(x) = √x+12 and g(x) =2√x.

To find : what is the value of (f-g)(144).

Solution : We have given

f(x) = √x+12.

g(x) = 2√x.

By the rule :

(f-g)(x) = f(x) - g(x).

So, x = 144 .

(f-g)(144) = f(144) - g(144).

f(144) = √144+12.

f(144) = 12 + 12.

f(144) = 24.

For g(x) :

g(141) = 2√144.

g(144) = 2* 12.

g(144) = 24.

(f-g)(144) = 24 -24 .

(f-g)(144) = 0 .

Therefore, (f-g)(144) = 0 .