Question

If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(F(x))?

a. 16x2 + 8
b. 4x3 + 28x - 7
c. 16x2 - 8x + 8
d. 4x3 - 7

Answer 1

f(x) = 4x-1
g(x)= x²+7

g(f(x)) = (4x-1)² +7

= (4x-1)(4x-1) +7

= 16x²-4x-4x+1 +7
= 16x²-8x+8



answer c


hope to helped

Answer 2

basically
f(x)=4x-1 and
g(x)=x^2+7
so basically subsitute whatever is in the x place for x and solve so

if you want to find g(f(x)) then that would be
subsiute f(x) for x in g(x) so
f(x)=4x-1
so subsittue 4x-1 for x in g(x)
g((4x-1))=g(f(x))=(4x-1)^2+7
solve
(4x-1)^2+7=16x^2-8x+1+7=16x^2-8x+8

the answer is 16x^2-8x+8
the answer is c