Question 7 of 25 If F(x) = 2x-5 and G(X) = x2 + 1, what is G(F(x))?
O A. 4x2 + 26
O B. 2x2 + 2x-5
O C. 4x2 - 20x + 26
O D. 2x3-5

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.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

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step-by-step explanation:

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