Consider the functions f(x) = 2x + 1 and g(x) = x^2 − 10. What is the value of f[g(3)]?

39
−3
−7
−1

pls help me

g(3)=9-10=-1

f(-1)=2(-1)+1=-1

To find the value of f[g(3)], we need to evaluate g(3) first and then plug it into function f(x). Let's break it down step by step:

Step 1: Evaluate g(3)
In function g(x) = x^2 - 10, we substitute x with 3:
g(3) = 3^2 - 10
g(3) = 9 - 10
g(3) = -1

Step 2: Substitute the evaluated value into f(x)
Now we have g(3) = -1, so we substitute it into function f(x) = 2x + 1:
f[g(3)] = f(-1)
f(-1) = 2(-1) + 1
f(-1) = -2 + 1
f(-1) = -1

Therefore, the value of f[g(3)] is -1.