Question

What is the x-intercept of the following function?
h(x) = 4x+3 - 2

Answer 1

(-2.5,0)

Explanation:

`h(x)=4^(x+3)-2`

Since the x intercept of a graph is when the y value is 0:

`0=4^(x+3)-2 \\\\2=4^(x+3) \\\\2=(2^2)^(x+3) \\\\2^1=2^(2x+6) \\\\1=2x+6 \\\\2x=-5 \\\\x=-2.5`

Hope this helps!

Answer 2

Let h(x) = y

y = 4^(x+3) -2

For x intercept let y = 0

2 = 4^(x+3)

2= 2^2(x+3)

1 = 2x +6

2x = -5

2x = -5

Divide by 2

x = -5/2

The x intercept for the function is ( -5/2, 0)

Hope this helps.