Answer:
f⁻¹(x) = 4x - 2
Step-by-step explanation:
To find the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 1/4x + 1/2 → y = 1/4x + 1/2
Switch the variables.
x = 1/4y + 1/2
Now you want to convert the equation back into y = mx + b form.
x = 1/4y + 1/2
Subtract 1/2 from both sides.
x - 1/2 = 1/4y
Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).
4(x - 1/2) = y
Distribute the 4.
4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2
This is the inverse of your given function.
If its m-4 + 1/5-4, it's b
if you meant m^-4 + (1/5)^-4, it should be a
For values to have congruent sin and cos value, it means that sin x=cos y
thus from the given values, the values that sin x is congruent to cos y will be found as follows;
70
sin 70=0.9397
getting the cosine for y values we get:
cos 160=-0.9397
cos 70=0.3420
cos 120=-0.5
cos 20=0.9397
from the above we see that the cosine value congruent to sin 70 is cos 20
Dude I hate to be a downer here but you want help for an entire page of homework for five points, you ain’t gonna get much help like that