Question

For j(x) = 5x^ − 3, find j(x+h)-j(x) / h
See image below

Answer 1

Answer:

4th option

Step-by-step explanation:

Given

j(x) = $5^{x-3}$ , then

j(x + h) = $5^{x+h-3}$

$\frac{j(x+2)-j(x)}{h}$

= $\frac{5^{x+h-3}-5^{x-3} }{h}$ ← factor out $5^{x-3}$ from each term on the numerator

= $\frac{5^{x-3}(5^{h}-1) }{h}$

Answer 2

The value of j(x+h)-j(x) / h is 5^{x-3}(5^h-1)/h if j(x) = 5^{x − 3} option fourth is correct.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

$\rm j(x) = 5^{x-3}$

First fine the value of j(x+h) for this simply plug x+h in the j(x), we get:

$\rm j(x+h) = 5^{x+h-3}$

Put the values of j(x) and j(x+h) in the below expression, we get;

$=\rm \frac{j(x+h)-j(x)}{h}$

$=\rm \frac{5^{x+h-3}-5^{x-3}}{h}$

$=\rm 5^{x-3}\frac{5^{h}-1}{h}$  or

$=\rm \frac{5^{x-3}(5^{h}-1)}{h}$

Thus, the value of j(x+h)-j(x) / h is 5^{x-3}(5^h-1)/h if j(x) = 5^{x − 3} option fourth is correct.

Learn more about the function here:

brainly.com/question/5245372