g(x)=(1/3)^(x+1). g(1/2), g(sqrt{2}),\ g(-3.5), g(-1.4) - use a calculator to evaluate the function

Tammy Todd

Tammy Todd

Answered question

2021-08-02

Evaluating Exponential Functions Use a calculator to evaluate the function at the indicated values. Round your answer to three decimals.
g(x)=(13)x+1. g(12), g(2), g(3.5), g(1.4)

Answer & Explanation

Khribechy

Khribechy

Skilled2021-08-03Added 100 answers

Step 1
Approach:
Exponential functions:
The exponential function with base a is defined for all real numbers x by,
f(x)=ax
Where a>0 and aq1
Step 2
Calculation:
Given,
g(x)=(13)x+1
We use a calculator to obtain the values of g(12), g(2), g(3.5), g(1.4).
Value of h(x)Exponential functionCalculator keystrokeOutputh(1)h(x)=exh(1)=e1h(1)=2.7183e12.7183h(π)h(x)=exh(π)=eπh(π)=23.1407eπ23.1407h(3)h(x)=exh(3)=e3h(3)=0.0498e(3)0.0498h(2)h(x)=exh(2)=e2h(2)=4.1133e(2)4.1133
Thus,
g(12)=0.192
g(2)=0.070
h(3.5)=15.588 and
g(1.4)=1.551

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