Question

Consider the functions f(x) = 3x − 2 and g(x) = x2 − 1. What is the value of f[g(5)]?

312

70

168

−1

Answer 1

the answer is 70, because 5*5-1= 24. Then 3(24)-2 is 70

Answer 2

The value of f[g(5)] is:

70

Explanation:

Given that:

f(x)=3x-2 and g(x)=x²-1

f(g(x))=f(x²-1)

= 3(x²-1)-2

=3x²-5

Hence, f(g(5))=3×5×5-5

= 70

Hence, the value of f[g(5)] is:

70