How to get this answer:
Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.
f(x) = 4x+8
y = 4x+8
x = 4y+8
x-8 = 4y
4y = x-8
y = (x-8)/4
y = x/4 - 8/4
y = (1/4)x - 2
h(x) = (1/4)x - 2
Option A is correct. The inverse of the function f(x) = 4x + 8 will be, h(x) = (1/4)(x—2).
A function that reverse the coefficient of the variable is called an inverse function. It is denoted by the f⁻¹(x)
The function is given as;
f(x) = 4x + 8
Substitute y for f(x). After that, switch x and y. Finally, get the inverse by solving for y.
y = 4x+8
Replace the coefficients;
x = 4y+8
Rearrange the equation;
x-8 = 4y
4y = x-8
Applying arithmetic operation;
y = (x-8)/4
y = x/(4 – 8)/4
y = (1/4)(x—2)
The inverse of the function f(x) = 4x + 8 is;
h(x) = (1/4)(x—2)
Hence, the inverse of the function f(x) = 4x + 8 will be, h(x) = (1/4)(x—2).
Learn more about inverse function here:
https://brainly.com/question/19425567
#SPJ2
