Question

Find g(f(3)) given:
f(x) = x+1/2 and g(x) = 2x^2– 3

Answer 1

Answer: g(f(3)) = 21.5

Explanation:

g(f(3)) is asking us to substitute 3 into f(x) and then substitute that into g(x).

Given:

f(x) = x +
`(1)/(2)`

Substiute 3 into f(x) for x:

f(3) = 3 +
`(1)/(2)`

f(3) = 3.5

Given:

g(x) = 2x² – 3

Substiute f(3) = 3.5 into g(x) for x:

g(f(3)) = 2(3.5)² – 3

g(f(3)) = 24.5 – 3

g(f(3)) = 21.5