Question

Use the graph that shows the solution f(x) = g(x)

F(x) = x^2 + 4x +2
G(x) (1/2)^2 + 1
What is the solution to f(x) = G(x)
A -1
B 0
C 2
D 3

Answer 1

option (b) is correct.

the solution to f(x) = G(x) is at x = 0

Explanation:

Given :
`F(x) = x^2 + 4x +2` and
`G(x)=((1)/(2))^x + 1`

We have to find the solution for which f(x) = G(x)

for given two functions
`F(x) = x^2 + 4x +2` and
`G(x)=((1)/(2))^x + 1` the solution where f(x) = G(x) is the point where two graphs meets.

that is the point of intersection .

From graph it is clear that point (0, 2)

That is when x = 0 then value of both functions f(x) and g(x) is 2.

Thus, option (b) is correct.

Thus, the solution to f(x) = G(x) is at x = 0

Answer 2

Choice B is correct answer.

Explanation:

We have given two functions.

f(x) = x²+4x+2

g(x) = (1/2)ˣ+1

We have to find the solution for which f(x) = g(x).

We have given two graph of given equations.

The solution of two equations in graphical method is intersecting point of both equation.

From graph, we observed that

At (0,2) is intersecting point of graphs.

hence, the solution to f(x) = g(x) is at x = 0.