amic functions question 12, 5.4.87 part 1 of 8 use the given function f to answer parts (a) through (f)…

amic functions question 12, 5.4.87 part 1 of 8 use the given function f to answer parts (a) through (f) below. f(x)=e^x - 5+5 (a) find the domain of f. the domain of f is . (type your answer in interval notation.)

amic functions question 12, 5.4.87 part 1 of 8 use the given function f to answer parts (a) through (f) below. f(x)=e^x - 5+5 (a) find the domain of f. the domain of f is . (type your answer in interval notation.)

Answer

Explanation:

Step1: Recall domain of exponential function

The exponential function $y = e^u$ is defined for all real - valued $u$. In the function $f(x)=e^{x - 5}+5$, the exponent $u=x - 5$.

Step2: Determine domain of $f(x)$

Since $x-5$ can take any real value, $x$ can be any real number. In interval notation, the set of all real numbers is $(-\infty,\infty)$.

Answer:

$(-\infty,\infty)$