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Select the correct answer. Consider the graph of the function f(x) = e^x.

What is the y-intercept of function g if g(x) = 2f(x)+1 ?

A. (0,2)

B. (0,-1)

C. (0,3)

D. (0,1)

Select the correct answer Consider the graph of the function fx ex What is the yintercept of function g if gx 2fx1 A 02 B 01C 03D 01 class=

Respuesta :

CintiaSalazar

Taking into account the definition of y-intercept,  the y-intercept of function g is (0,3) (option C).

What is y-intercept

To find the y-intercept of a function, simply replace x with 0; and then solve the equation.

That is, to find the intersection point with the ordinate axis, f(0) is calculated by making x = 0.

The y-intercept of g(x) = 2f(x)+1

In this case, you know that:

f(x) = eˣ

g(x) = 2f(x)+1

Then, substituting the expression of the function f(x) in the function g(x), you obtain g(x)=2×eˣ + 1

The y-intercept of function g is g(0). So, g(0)=2×e⁰ + 1

Solving:

g(0)=2×1 + 1

g(0)= 2+1

g(0)= 3

Finally, the y-intercept of function g is (0,3) (option C).

Learn more about y-intercept:

https://brainly.com/question/22045441

https://brainly.com/question/11405197

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