So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1
multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))
the answer is D g(f(x)) produces the greatest output
Answer:
∠SRQ = 75º, ∠TQR = 75º, ∠TSR = 105º, ∠STQ = 105º
Step-by-step explanation:
Since the quadrilaterals are similar, their corresponding angles are the same.
Answer:
5
Step-by-step explanation:
15-5(p-6)
15-5(8-6)
15-5(2)
15-10
5
Answer:
64√2 or 64 StartRoot 2 EndRoot
Step-by-step explanation:
A 45-45-90 traingle is a special traingle. Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem. Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2. 2(x)^2=c^2. You then square root both sides and get c= x√2.
Therefore, the two legs are x and the hypotenuse is x√2. x√2=128 because the question says that the hypotenuse is 128. Solve for x by dividing both sides by √2. X=128/√2. You rationalize it by multiplying the numberator and denominator of the fraction by √2. √2*√2= 2.
X=(128√2)/2= 64√2 cm.
Since X is the leg, the answer would be 64√2
