Question

Given f(x) = 3x + 7 and g(x) = 2x - 5,

find g (f (-3)).
g (f (-3)) = -9
g (f (-3)) = 10
g (f (-3)) = -26
g (f (-3)) = -1

Answer 1

To find g(f(-3)), evaluate f(x) at x=-3, then g(x) at the result of f(-3). The final result is g(f(-3)) = -9.

Step-by-step explanation:

To find g (f (-3)), we first need to evaluate the inner function f(x) for x = -3. The function f(x) is given by f(x) = 3x + 7. Substituting -3 into f(x), we get:

f(-3) = 3(-3) + 7 = -9 + 7 = -2.

Now we evaluate the outer function g(x) at this result. The function g(x) is given by g(x) = 2x - 5. Substituting f(-3) or -2 into g(x), we get:

g(f(-3)) = g(-2) = 2(-2) - 5 = -4 - 5 = -9.

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