Question

The graphs of ​ f(x)=−32x+2 ​ and ​ g(x)=3x−10 ​ intersect at (2, −1)

What is the solution of −32x+2=3x−10 ?

Answer 1

The solution of -32x+2=3x-10 is (2,-1)

Answer 2

The solution of the equation is 2.

Explanation:

The given functions are

`f(x)=-(3)/(2)x+2`

`g(x)=3^x-10`

It is given that the graph of f(x) and g(x) intersects each other at (2,-1).

The given equation is

`-(3)/(2)x+2=3^x-10`

The solution of this equation is the value of x where both the functions are eqaul.

Since both functions are equal at x=2, therefore the solution of the equation is 2.