If f(x)=5x-12, find a value for $x$ so that f^{-1}(x)=f(x+1).

Step-by-step explanation:

Hello,

f(x)=5x-12

we need to find x so that

so first of all we can write

and f(x+1) = 5(x+1) - 12 = 5x + 5 -12 = 5x - 7

then solving

is equivalent to

Hope this helps

Step-by-step explanation:

let f(x)=y

y=5x-12

flip x and y

x=5y-12

5y=x+12

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.