Question

Use the graph that shows the solution to

f(x)=g(x) .

f(x)=−3/4x^2+3x+1

g(x)=2x

Answer 1

The first graph will give the actual solution for f(x) = g(x).

Explanation:

The first function is
`f(x) = - (3)/(4)x^(2) + 3x + 1` and
`g(x) = 2^(x)`.

Now, f(0) = 1 and g(0) = 1

So, the point (0,1) is a solution for f(x) = g(x).

Again,
`f(2) = - (3)/(4)(2)^(2) + 3(2) + 1 = 4` and
`g(2) = 2^(2) = 4`.

Hence, the point (2,4) is also a solution of f(x) = g(x).

Therefore, the first graph will give the actual solution for f(x) = g(x). (Answer)