Question

If f(x)=√x, write a formula for a function h, using a square root, and so

that his related to the function fby: h(x) = -f(2(x + 5)) + 4.
h(x) = ?

please please please show your work!!!

Answer 1

answer is in the image :)

Answer 2

h(x) = -√(2x + 10) + 4.

Explanation:

We have:

h(x) = -f(2(x + 5)) + 4

To find h(x), we first need to evaluate f(2(x + 5)):

f(2(x + 5)) = √(2(x + 5))

= √(2x + 10)

Now, we can substitute this into the expression for h(x):

h(x) = -√(2x + 10) + 4

Therefore, the formula for the function h, using a square root, and related to the function f(x) = √x by h(x) = -f(2(x + 5)) + 4 is:

h(x) = -√(2x + 10) + 4.