Answer:
Points on the graph:
(0, 0)
(1, 4)
(2, 8)
Step-by-step explanation:
Just input the first 4 values for x:
(0, y)
y = 4x
y = 4(0)
y = 0
(1, y)
y = 4x
y = 4(1)
y = 4
(2, y)
y = 4x
y = 4(2)
y = 8
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
Answer:
$3.60
Step-by-step explanation:
1.50 ÷ 16 = 0.09375
there are 38.4 oz in laurens watermelon, so multiply the cost per ounce by the number of ounces to find the answer
0.09375 × 30.4 = 3.6
Answer: 22 meters
<u>Step-by-step explanation:</u>
Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters. Use the Pythagorean Theorem to find the base (the length of the shadow).
a² + b² = c²
x² + 30² = 37²
x² = 37² - 30²
x² = 1369 - 900
x² = 469
√x² = √469
x = 21.656
x ≈ 22
Answer:
A.)351 cubic inches
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
Volume of the prism is
= Base × height
= 27 square inches × 13
= 351 cubic inches
hence, the first option is correct
And, the rest of the options are wrong
