I'll like to have like a general idea of how it works using notations and dummy letters

I'll like to have like a general idea of how it works using notations and dummy letters

1) (ii) Find the range of values of k for which the equation e^x – 5 = k has no solutions. [1] Ans k less than or equal to 5 ( Please explain how to get the answer) 2)...

If f(x) = 3x-5, find f(x+h)—f(x)/h

If f(x)=(x+2)/(x+9), then f^-1(-4)=?

If g(x) is one-to-one and g(-8)=4, then (g(-8))^-1=?

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

If f(x-1)=2x+3 for all values of x,What is the value of f(-3)? a)-7 b)-5 c)-3 d)-1 btw ik the answer is -1 but idk how i solve it the proper way what is did was replace -3...

Find the average rate of change of f(x)=3/x+1 on the interval [x,x+h]. Simplify your answer.

Let f(x)=√x and g(x)= 3x+b. What is the value of b if we know that the graph f(g(x)) passes through the point (4,8)

I need help with this problem>>> There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.9% each...

Given f(x)=af[b(x-h)]+k, why does the graph stretch horizontally by a factor of 1/b, but not by a factor of b?

if the functions f, and h are defined by f(x)=3x - 5, and h(x)= 3x^2-11x+10, write a formula for f/h

how to solve this type of function form when there's an exponent....

5 and 3-2i

4 and -3i

2(y+2)=f(-x) to y=f(x), or isolating y. If I start by dividing 2 on both sides, does it only account for the y value?

f(x)= (6x+4)/4 g(x)=6x+8 can i multiple f(x) by 20 and g(x) by 3, add them and then evaluate at x=-2? is -52 the answer?

Let f(x) = -2x-4. Find the difference quotient f(x+h)-f(x)/h. Simplify your answer.

Let f(x) = 4 + 7 x -x^2. Find the difference quotient f(5+h)-f(5)/h. Simplify your answer.

Let f and g be functions such that g(x) =2f(x+1)+5 Let h(x) = -g(3x). The point A (6,5) in the graph is mapped to the point A´ on the graph of h. Find A´

The equation x^2+(k+2)x+2k=0 has two distinct real roots. Find the possible values of k.