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 ?

Respuesta :

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

Answer:

The solution of the equation is 2.

Step-by-step explanation:

The given functions are

[tex]f(x)=-\frac{3}{2}x+2[/tex]

[tex]g(x)=3^x-10[/tex]

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

The given equation is

[tex]-\frac{3}{2}x+2=3^x-10[/tex]

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.