Question

F(x)=-5/2 x-3

A. Create a linear function g(x) such that f(x) = g(x) has exactly one solution.

g(x) = ?

B. What is the exact solution to f(x) = g(x)?

x = ?

Step by step

Answer 1

The answer is B!
Because 57+^*o92=iw
Then you add and subtract
After you need to ulitplixstion

Answer 2

A) A linear function g(x) such that f(x) = g(x) has exactly one solution is: g(x) = ¹/₂x + 3

B) The exact solution to f(x) = g(x) is: x = -2

How to create a linear function?

g(x) and f(x) will have exactly one solution when they are not parallel (same slope) and when they are not equivalent functions (like doubling or halving all terms).

f(x) = -⁵/₂x - 3

Let us try g(x) = ¹/₂x + 3 .

To find the solution, equate the two functions:

f(x) = g(x)

-⁵/₂x - 3 = ¹/₂x + 3

-⁵/₂x - ¹/₂x = 3 + 3

-3x = 6

x = -2

Substitute x = -2 into any equation to find y

g(x) = ¹/₂(-2) + 3

g(¹/₂) = (1/2)(-2) + 3

g(¹/₂) = -1 + 3

g(¹/₂) = 2