Answer: C
Step-by-step explanation:
G(F(x)) means F(x) is being plugged into every x in G(x). Since we are given the G(x) and F(x) functions, we can directly plug 2x-5 into x²+1.
G(F(x))=G(2x-5)
G(F(x))=(2x-5)²+1 [use FOIL method to expand (2x-5)²]
G(F(x))=(4x²-10x-10x+25)+1 [combine like terms]
G(F(x))=4x²-20x+26
Now that we have found G(F(x))=4x²-20x+26, we know that the answer is C.
