Question

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

Answer 1

Answer:

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.

Answer 2

Answer:

(-2.5,0)

Step-by-step 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!