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

Solution:

Given, functions are

f(x) = √x + 12

g(x) = 2√x

We have to find the value of (f - g)(144).

We know that

(f - g)(x) = √x + 12 - 2√x

Taking √x as common

= √x(1 - 2) + 12

= 12 - √x

Put x = 144 in the above expression.

(f - g)(144) = 12 - √144

So we get,

= 12 - 12

= 0

Therefore, the value of (f-g)(144) is 0.

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

Summary:

If f(x) = √x + 12 and g(x) = 2√x, the value of (f - g)(144) is 0.