The only difference is that for any positive value of 'x' g(X) and h(X) will be same and for any negative value of 'x' g(x) and h(x) will be different.

Step-by-step explanation:

Given

$f(x)= |x|$

$g(x) = |x+5|\\\\h(x)= |x| +5$

|x| is modulus of x so modulus makes negative value as psoitive

for example

$|3|= 3$

$|-3|=3$

now we will solve for the above

For $x=4$

$g(4)=|4+5|\\=|9|\\=9$

and

$h(4)=|4| +5\\=4 +5\\=9$

Now for $x=-4$

$g(-4)=|-4+5|\\=|1|\\=1$

and

$h(-4)=|-4| +5\\=4 +5\\=9$

so for positive value it is same and for negative value it is different

7 0

3 years ago

-3/2t=-9 please help. its for a test

11111nata11111 [884]

$-\frac{3}{2}t=-9\\\\t=-9:(-\frac{3}{2})\\\\t=-9\cdot(-\frac{2}{3})\\\\t=\frac{18}{3}\rightarrow\boxed{t=6}$

3 0

2 years ago

Read 2 more answers

The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.

mestny [16]

Answer:

Step-by-step explanation:

B = (6,5) C = (6,9)

√(x2 - x1)² + (y2 - y1)²

√(6 - 6)² + (9 - 5)²

√(0)² + (4)²

√16

= 4

3 0

2 years ago