The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising.

The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the number of hours spent exercising.

What is (f + g)(2)? Explain.

Hey there!

When we say (f + g)(2), we are adding both functions together and plugging in 2 for x.

Since f(x) is equal to 2x + 210 and g(x) is equal to 2x + 125, (f + g)(x) is equal to (2x + 210) + (2x + 125).

That can be simplified to 4x + 335.

So, (f + g)(x) = 4x + 335.

Let's plug 2 in for x and solve.

(f + g)(2) = 4(2) + 335

Multiply.

(f + g)(2) = 8 + 335

Add.

(f + g)(2) = 343

The x value is consistent for the values of both equations, in both x is defined as the number of hours spent exercising.

So, (f + g)(2), which is 343, is the amount of calories burned and the calorie deficit on a diet when 2 hours are spent exercising.

Hope this helps!

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