111k views
5 votes
Given f (×)=2×-5 and g (×)=3×+4, solve for (g o f)(×). ​

User Saturn K
by
8.6k points

1 Answer

4 votes

Final answer:

To solve for (g o f)(x), substitute the functions into each other and simplify.

Step-by-step explanation:

The question asks to solve for (g o f)(x), which means we need to find the composite function of g and f. To do this, we first substitute the function g into f, so we get f(x) = 2(2x-5) - 5 = 4x - 10 - 5 = 4x - 15. Then, we substitute this new function into g, so we get (g o f)(x) = 3(4x - 15) + 4 = 12x - 45 + 4 = 12x - 41.

User Dnewcome
by
7.0k points