Functions math help.

Question

f(5) = 15 and g(x) = f(x+2)-5. Find g(3).

Answer 1

f(x) and g(x), as they are given are composite functions.

You're given that f(5) = 15. That means that when x = 5, y = 15. You're not given the function but the x & y corresponding points.

If g(x) = f(x +2) - 5 and you need to find the value of the function, g(x) or y when x = 3, you just replace x with the value of 3 in the function for g(x)...

So g(3) = f(3 + 2) - 5 but you know that f(3+2) is basically f(5) which is equal to 15.

Therefore g(3) = 15 - 5 = 10.

Hope this helps... :)

Answer 2

f(5) = 15 and g(x) = f(x+2)-5. Find g(3)

To find g(3) we need to do is replace the variable and function with numbers and . Let's rewrite it step by step

1. g(3) = f(3+2) - 5 -- replace x variables
2. g(3) = f(5) -5
3. Since already knew f(5) = 15 let's substitute : g(3) = 15 - 5 -- replace function f(5)
4. All we have to do is calculate. g(3) = 10