Final answer:
Based on the assumption that the student meant to ask for the expression 3h(x-20)+4, and given that h(x)=2x+6, the result of the expression is 6x-98.
Step-by-step explanation:
The question seems to have a typo. Given the functions f(x)=5x−8, g(x)=−x²+9, and h(x)=2x-7+13, the student is asking for the result of an expression related to h(x). However, the expression provided '3h(x-20=4' is not clear and seems to contain a typo. Assuming the question meant to ask for 3h(x-20)+4, let's solve it. The function h(x) is given as 2x-7+13, which simplifies to 2x+6. Applying an argument of (x-20) to h(x), we get:
h(x-20) = 2(x-20) + 6 = 2x - 40 + 6 = 2x - 34.
Then, multiplying h(x-20) by 3 and adding 4:
3h(x-20) + 4 = 3(2x-34) + 4 = 6x - 102 + 4 = 6x - 98.
So, the final expression we have is 6x - 98, given the assumption that the correct expression was meant to be 3h(x-20)+4.