Question

What is the inverse of the function h(x) = 5/2x + 4

Answer 1

$h^{-1}(x) = \frac{2x-8}{5}$

Step-by-step explanation:

Given function is:

$h(x) = \frac{5}{2}x+4$

In order to find the inverse:

Replacing h(x) with y

$y = \frac{5}{2}x+4$

Replacing x with y and y with x

$x = \frac{5}{2}y+4$

Solving for y

$x = \frac{5}{2}y+4\\x - 4 = \frac{5}{2}y+4-4\\x-4 = \frac{5}{2}y\\y = \frac{2}{5}(x-4)\\y = \frac{2x-8}{5}$

Replace y with h^(-1)(x)

$h^{-1}(x) = \frac{2x-8}{5}$

Hence,

$h^{-1}(x) = \frac{2x-8}{5}$

Keywords: Inverse, Functions

Learn more about functions at:

• brainly.com/question/4361464
• brainly.com/question/4390083

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