Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
Answer:
Option 3 3 1/8x - 6 3/10
Step-by-step explanation:
(3 1/2x - 4 1/10) - (3/8x + 2 1/5)
Divide it into parts:
(3 1/2x - 3/8x) + (-4 1/10 - 2 1/5)
3 1/2x - 3/8x = 3 4/8x - 3/8x = 3 1/8x
-4 1/10 - 2 1/5 = -4 1/10 - 2 2/10 = -6 3/10
So we get:
2 1/4x - 6 3/10
5/12+5/12=10/12
10/12+10/12=20/12 wich =1.666666666666667theres ur answer to one.
dont know the answer to the other one
Sorry
Hope that helps
Answer:
(-5, -10)
Step-by-step explanation:
y+2x = 5y
==>2x=4y
x=2y
5y=3(2y)+5
==>
y = -5
x = -10
==>
one solution