homework assignment 6.1 exponential functions\nscore: 8/12 answered: 11/12\nquestion 12\nevaluate the…

homework assignment 6.1 exponential functions\nscore: 8/12 answered: 11/12\nquestion 12\nevaluate the following function. round your answer to exactly four decimal places.\n$f(x)=5e^{x + 1}$, for $x=-2$\nyour answer is $f(-2)=$\nquestion help: video read written example

homework assignment 6.1 exponential functions\nscore: 8/12 answered: 11/12\nquestion 12\nevaluate the following function. round your answer to exactly four decimal places.\n$f(x)=5e^{x + 1}$, for $x=-2$\nyour answer is $f(-2)=$\nquestion help: video read written example

Answer

Explanation:

Step1: Substitute (x = - 2) into the function

Substitute (x=-2) into (f(x)=5e^{x + 1}), we get (f(-2)=5e^{-2 + 1}).

Step2: Simplify the exponent

Simplify (-2 + 1=-1), so (f(-2)=5e^{-1}).

Step3: Calculate the value of (e^{-1})

Since (e^{-1}=\frac{1}{e}\approx0.3679) (using the value of (e\approx2.7183)).

Step4: Calculate the value of (5e^{-1})

Multiply (5\times0.3679 = 1.8395)

Answer:

(1.8395)