Answer :
f(g(3))
find g(3)
g(3)=3^2+1=9+1=10
f(g(3))=f(10)
f(10)=2(10)+3=20+3=23
f(g(3))=23
find g(3)
g(3)=3^2+1=9+1=10
f(g(3))=f(10)
f(10)=2(10)+3=20+3=23
f(g(3))=23
To find f(g(3)), we calculate g(3) as 9 + 1 = 10, then substitute this into f(x) resulting in f(10) = 2(10) + 3, which equals 23.
The student has asked to find the value f(g(3)) where f(x) = 2x + 3 and g(x) = x2 + 1. To solve this, we begin by finding g(3), then substitute this value into f(x).
- Calculate g(3) which is 32 + 1 = 9 + 1 = 10.
- Now find f(g(3)), which means we need f(10). So we substitute 10 into f(x), f(10) = 2(10) + 3 = 20 + 3 = 23.
Hence, f(g(3)) = 23.
