Question

Given that f(x)=4x-3 and g(x)= (2x-1)/3 solve for g(f(2))

Answer 1

To solve g(f(2)), we need to solve for f(2) as:

f(x) = 4x - 3

Replacing x by 2, we get:

f(2) = 4(2) - 3

f(2) = 8 - 3

f(2) = 5

Now g(f(2) is equal to g(5), so:

`g(x)=(2x-1)/(3)`

So, replacing x by 5, we get:

`\begin{gathered} g(x)=(2(5)-1)/(3) \\ g(x)=(10-1)/(3) \\ g(x)=(9)/(3) \\ g(x)=3 \end{gathered}`

Answer: g(f(2)) = 3