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ollegr [7]
3 years ago
8

If f(x) = 3x– 2 and g(x) = x^2– 5, what is g(f(2))?

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

\large\boxed{g\bigg(f(2)\bigg)=11}

Step-by-step explanation:

f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11

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