If g(x)= -2^2 and h(x)=x-2/5. Find the indicated value.
h(g(5))
I got -5.4. is that right?
To find the value of h(g(5)), we first need to substitute 5 into the function g(x) and then take that result and substitute it into the function h(x).
Let's begin by finding g(5):
g(x) = -2^2
Replace x with 5:
g(5) = -2^2
Next, we evaluate the exponent: -2^2 = -4.
Now we have the value of g(5) as -4.
Next, we substitute -4 into h(x):
h(x) = x - 2/5
Replace x with -4:
h(-4) = -4 - 2/5
To simplify this, we need a common denominator between -4 and 2/5, which is 5.
We rewrite -4 as -20/5:
h(-4) = -20/5 - 2/5
Combining the numerators:
h(-4) = (-20 - 2)/5
Simplifying the numerator:
h(-4) = -22/5
Therefore, the value of h(g(5)) is -22/5, which is equivalent to -4.4 in decimal form. So, your answer of -5.4 is incorrect.