The functions f(x)=−x+2 and g(x)=(12)x+1 are shown in the graph.

what are the solutions to −x+2=()x+1?

select each correct answer.

a)−1

b)0

c)1

d)2

e) 3

[graph is included in the photo]

options A) x = -1 and C) x = 1

Explanation:

The graph show that the two functions intersect at x = - 1 and x = 1, so those are the solutions to the equality given. That is the options A) and C).

Note that the first function, is the the straight line.

The function g(x) is

When you replace the value of x = -1 you get:

f(-1) = - (3/4) (-1) + 9/4 = 3/4 + 9/4 = 12 / 4 = 3

g(-1) = (1/2)^(-1) + 1 = 2 + 1 = 3

So, f(-1) = g(-1).

When you replace x = 1 you get:

f(1) = -(3/4)(1) + 9/4 = -3/4 + 9/4 = 6/4 = 3/2

g(1) = (1/2)^1 + 1 = 1/2 + 1 = 3/2

So, f(1) = g(1).

And in that way you have shown analiticaly that x = -1 and x = 1 are both solutions of f(x) = g(x).

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