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if f(x)=3x+7 and g(x)=2x-5 find g(f(-3))

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To find \( g(f(-3)) \), we first need to find \( f(-3) \) using the function \( f(x) = 3x + 7 \).

  1. Calculate \( f(-3) \): \[ f(-3) = 3(-3) + 7 \] \[ = -9 + 7 = -2 \]

  2. Now that we have \( f(-3) = -2 \), we can find \( g(f(-3)) = g(-2) \) using the function \( g(x) = 2x - 5 \).

  3. Calculate \( g(-2) \): \[ g(-2) = 2(-2) - 5 \] \[ = -4 - 5 = -9 \]

Therefore, \( g(f(-3)) = g(-2) = -9 \).