Question

What is the value of f[g(5)] for the functions f(x) = 2x + 1 and g(x) = 2x - 5?

Answer 1

To find the value of f[g(5)], first evaluate g(5), which is 5, and then plug it into f(x) to get f(5), which results in a value of 11.

Step-by-step explanation:

The student is asking to evaluate the composite function f[g(5)] using the given functions f(x) = 2x + 1 and g(x) = 2x - 5. To find the value of f[g(5)], we first need to evaluate g(5) and then use this result as the input for the function f.

Calculate g(5): g(5) = 2(5) - 5 = 10 - 5 = 5.

Now calculate f[g(5)]: f(5) = 2(5) + 1 = 10 + 1 = 11.

Therefore, the value of f[g(5)] is 11.

Answer 2

The function f(x) is f(x)=2x+1 The value of f[g(5)] can be obtained if any unknown x in the equation f(x) we replace with g(5). But what is g(5)? We can obtain the value for g(5) if we replace the variable x in g(x) with 5. g(5)=2*5-5=10-5=5 So, f[g(5)] = f(5), f(5)=2*5+1=10+1=11.