<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2,
what is the value of f[g(-5)]?
f[g(-5)] means substitute -5 for x in the right side of g(x),
simplify, then substitute what you get for x in the right
side of f(x), then simplify.
It's a "double substitution".
To find f[g(-5)], work it from the inside out.
In f[g(-5)], do only the inside part first.
In this case the inside part if the red part g(-5)
g(-5) means to substitute -5 for x in
g(x) = (x - 3)/2
So we take out the x's and we have
g( ) = ( - 3)/2
Now we put -5's where we took out the x's, and we now
have
g(-5) = (-5 - 3)/2
Then we simplify:
g(-5) = (-8)/2
g(-5) = -4
Now we have the g(-5)]
f[g(-5)]
means to substitute g(-5) for x in
f[x] = 2x + 3
So we take out the x's and we have
f[ ] = 2[ ] + 3
Now we put g(-5)'s where we took out the x's, and we
now have
f[g(-5)] = 2[g(-5)] + 3
But we have now found that g(-5) = -4, we can put
that in place of the g(-5)'s and we get
f[g(-5)] = f[-4]
But then
f(-4) means to substitute -4 for x in
f(x) = 2x + 3
so
f(-4) = 2(-4) + 3
then we simplify
f(-4) = -8 + 3
f(-4) = -5
So
f[g(-5)] = f(-4) = -5</span>
X-12=20
x=20+12
x=32
answer is 32
Answer:
which solid figure is it?
17142.85 is the originally marked price of the car
Answer:
The correct option is B.
Step-by-step explanation:
We know, from the definition of |x|,
|-8x| = - 8x, when - 8x ≥ 0 i.e. x ≤ 0 ......... (1)
and |-8x| = 8x, when - 8x < 0 i.e. x > 0 .......... (2)
Now, for x ≤ 0 {i.e. condition (1)}
- 8x ≤ 8, ⇒ x ≥ - 1 ......... (3)
Again, for x > 0 { i.e. condition (2)}
8x ≤ 8, ⇒ x ≤ 1 .......... (4)
So, combining conditions (3) and (4) we get -1 ≤ x ≤ 1.
So, the correct option is B. (Answer)
