Let f(x)=4x−1 and g(x)=x2+5 Find (f∘g)(−3)
So, the value of (f∘g)(−3) is 55.
Step 1 :Let's first find the value of g(−3). We substitute x=−3 into the function g(x)=x2+5.
Step 2 :After calculating, we find that g(−3)=14.
Step 3 :Next, we substitute this value into the function f(x)=4x−1.
Step 4 :After calculating, we find that f(14)=55.
Step 5 :So, the value of (f∘g)(−3) is 55.