Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals.
g(x) =(2/3)^x-1
g(1.5)=
g(square root of 3)=
g(2pie)=
g(-4/5)
You probably have a yx button on your calculator. Use it.
Or, note that (2/3)^x = e^(ln(2/3)*x) = e^(-0.4055x)
Now you can use your e^x button to evaluate the expressions.
And it's pi, not pie!
To evaluate the function g(x) = (2/3)^(x-1) at the given values, you can use a calculator. Here's how you can do it:
1) g(1.5):
To find g(1.5), substitute 1.5 for x in the function:
g(1.5) = (2/3)^(1.5 - 1)
Using a calculator, calculate (2/3)^(0.5) and round the answer to three decimals.
2) g(square root of 3):
To find g(square root of 3), substitute sqrt(3) for x in the function:
g(sqrt(3)) = (2/3)^(sqrt(3) - 1)
Using a calculator, calculate (2/3)^(sqrt(3) - 1) and round the answer to three decimals.
3) g(2π):
To find g(2π), substitute 2π for x in the function:
g(2π) = (2/3)^(2π - 1)
Using a calculator, calculate (2/3)^(2π - 1) and round the answer to three decimals.
4) g(-4/5):
To find g(-4/5), substitute -4/5 for x in the function:
g(-4/5) = (2/3)^(-4/5 - 1)
Using a calculator, calculate (2/3)^(-4/5 - 1) and round the answer to three decimals.
Note: Remember to use parentheses when entering the exponent and use the exponentiation feature of your calculator to calculate the power.