Consider the function g(x)=15^x . Starting with 3, provide the next five x-values that can be used to approximate 15^11√ . (2 points)

Answer 1

To approximate $\sqrt[11]{15}$ using the function $g(x)=15^x$, we need to find the x-values that will give us a value close to $\sqrt[11]{15}$.

We start with $x=3$ and find that $g(3)=15^3=3375$.

The next five x-values that can be used to approximate $\sqrt[11]{15}$ are:

$x=3.1: g(3.1)=15^{3.1}\approx4123.84013$

$x=3.2: g(3.2)=15^{3.2}\approx5065.25205$

$x=3.3: g(3.3)=15^{3.3}\approx6216.62853$

$x=3.4: g(3.4)=15^{3.4}\approx7609.67292$

$x=3.5: g(3.5)=15^{3.5}\approx9283.38548$

These x-values will give us approximate values for $\sqrt[11]{15}$.