The height, h, in metres, of a rocket t seconds after it is launched is approximately modelled by the quadratic relation h = 80t
1 answer:
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We have that
using a graph tool
see the attached figure
case A) <span>f(x) = 4^x
</span>this function is not <span>represented in the graph
case B) </span><span>f(x) = 4^(x) − 3
</span>this function is not represented in the graph
case C) <span>f(x) = 4^(x) + 3
</span>this function is represented in the graph
case D) <span>f(x) = 4^(x + 3)
</span>this function is not represented in the graph
the answer is
case C) f(x) = 4^(x) + 3
using a graph tool
see the attached figure
case A) <span>f(x) = 4^x
</span>this function is not <span>represented in the graph
case B) </span><span>f(x) = 4^(x) − 3
</span>this function is not represented in the graph
case C) <span>f(x) = 4^(x) + 3
</span>this function is represented in the graph
case D) <span>f(x) = 4^(x + 3)
</span>this function is not represented in the graph
the answer is
case C) f(x) = 4^(x) + 3
The inverse of this function is y =
You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.
y = ----> Switch the x and y
x = -----> Add 9 to both sides
x + 9 = ----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.
ln(x + 9) = 2y ----> Divide both sides by 2.
y =
This will be your inverse function.