Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

9514 1404 393

  x ≈ -4.9

Step-by-step explanation:

There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.

  x ≈ -4.9

_____

Using iterative techniques, the calculator can give an answer to the full precision available. It is ...

  x ≈ −4.91733286844

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)